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NCERT Solutions for Class 8 Mathematics Chapter 12 Exponents And Powers

NCERT Solution For Class 8 Mathematics

Exponents And Powers Here is the CBSE Mathematics Chapter 12 for Class 8 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 8 Mathematics Exponents And Powers Chapter 12 NCERT Solutions for Class 8 Mathematics Exponents And Powers Chapter 12 The following is a summary in Hindi and English for the academic year 2023-24. You can save these solutions to your computer or use the Class 8 Mathematics.

Question 1

NCERT Solutions for Class 8 Mathematics Chapter 12 Exponents And Powers

NCERT Solution For Class 8 Mathematics

Find the multiplicative inverse of the following.(i) 2–4 (ii) 10–5 (iii) 7–2 (iv) 5–3 (v) 10–100

Simplify and write in exponential form.(–2)–3 x (–2)–4

Simplify and write in exponential form.p3 x p–10

Simplify and write in exponential form.32 x 3–5 x 36

Evaluate:

Evaluate:

Evaluate:

Simplify and express the result in power notation with positive exponent.

Simplify and express the result in power notation with positive exponent.

Simplify and express the result in power notation with positive exponent.

Simplify and express the result in power notation with positive exponent.

Simplify and express the result in power notation with positive exponent.

Find the value of:

Find the value of:

Find the value of:

Find the value of:

Find the value of:

Evaluate:

Evaluate:

Find the value of m for which

Evaluate:

Evaluate:

Simplify.(t≠0)

Simplify.

Find the value of:

Find the value of:

Simplify:(i) (ii)

Express 4–3 as a power with the base 2.

Simplify and write the answer in the exponential form:(i) (ii) (iii) (iv)

Find 'm' so that

Find the value of

Simplify:(i) (ii)

Write the following number in standard form.0.000000564

Write the following number in standard form.0.0000021

Write the following numbers in standard form.21600000

Write the following number in standard form.15240000

Write all the facts given in the standard form.

Compare the size of a red blood cell which is 0.000007 m to that of a plant cell which is 0.0000129 m.

Express the following numbers in standard form.0.0000000000085

Express the following numbers in standard form.0.00000000000942

Express the following numbers in standard form.6020000000000000

Express the following numbers in standard form.0.00000000837

Express the following numbers in standard form.31860000000

Express the following numbers in usual form.

Express the following numbers in usual form.

Express the following numbers in usual form.

Express the following numbers in usual form.

Express the following numbers in usual form.

Express the following numbers in usual form.

Express the number appearing in the following statement in standard form.1 micron is equal to m.

Express the number appearing in the following statement in standard form.Charge of an electron is 0.000,000,000,000,000,000, 16 coulomb.

Express the number appearing in the following statement in standard form.Size of a bacteria is 0.0000005 m

Express the number appearing in the following statement in standard form.Size of a plant cell is 0.00001275 m

Express the number appearing in the following statement in standard form.Thickness of a thick paper is 0.07 mm.

In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?

Write each of the following in standard form:(i) 1,50,000,000,000 (ii) 0.000007 (iii) 0.0016 (iv) 0.00001278

The distance of the sun from the earth is 1,49,600,000,000 m. Express it in a standard form.

Express the following numbers in standard form:(i) 0.00035 (ii) 4050000

Express the following numbers in usual form:(i) (ii) (iii)

Simplify:

Evaluate:

Find the value of:

Find the value of

Simplify:

Find the value of m when

Simplify :

Write the following in standard form: (i) 0.000000456 and (ii) 34500000.

Express 2.0001 x 10–9 in usual form.

Simplify:

Simplify:

Simplify:

Evaluate:

Find the value of 'm' for which

Evaluate:

Simplify: such that

Compare and

The size of a plant cell is 0.00001275 m. Express it in standard form.

If the thickness of a paper sheet is 0.0016 cm. Find the thickness of 100 sheets. Express your answer in the standard form.

Find the multiplicative inverse of the following.
(i) 2^–4 (ii) 10^–5 (iii) 7^–2 (iv) 5^–3 (v) 10^–100

Simplify and write in exponential form.

(–2)^–3 x (–2)^–4

Simplify and write in exponential form.

p³ x p^–10

Simplify and write in exponential form.

3² x 3^–5 x 3⁶

Evaluate:

$3 to the power of negative 2 end exponent$

Evaluate:

$left parenthesis negative 4 right parenthesis to the power of negative 2 end exponent$

Evaluate:

$open parentheses 1 half close parentheses to the power of negative 5 end exponent$

Simplify and express the result in power notation with positive exponent.

$left parenthesis negative 4 right parenthesis to the power of 5 space divided by space left parenthesis negative 4 right parenthesis to the power of 8$

Simplify and express the result in power notation with positive exponent.

$open parentheses 1 over 2 cubed close parentheses squared$

Simplify and express the result in power notation with positive exponent.

$left parenthesis 3 to the power of negative 7 end exponent space divided by space 3 to the power of negative 10 end exponent right parenthesis space cross times space 3 to the power of negative 5 end exponent$

Find the value of:

$space left parenthesis 3 to the power of 0 plus 4 to the power of negative 1 end exponent right parenthesis space cross times space 2 squared$

Find the value of:

$left parenthesis 2 to the power of negative 1 end exponent space cross times space 4 to the power of negative 1 end exponent right parenthesis space divided by space 2 to the power of negative 2 end exponent$

Find the value of:

$left parenthesis 3 to the power of negative 1 end exponent space plus space 4 to the power of negative 1 end exponent space plus space 5 to the power of negative 1 end exponent right parenthesis to the power of 0$

Find the value of:
$space space open curly brackets open parentheses fraction numerator negative 2 over denominator 3 end fraction close parentheses to the power of negative 2 end exponent close curly brackets squared$

Evaluate:

$left parenthesis 5 to the power of negative 1 end exponent space cross times space 2 to the power of negative 1 end exponent space right parenthesis space cross times space 6 to the power of negative 1 end exponent$

Find the value of m for which $5 to the power of straight m space divided by space 5 to the power of negative 3 end exponent space equals space 5 to the power of 5.$

Evaluate:

$open curly brackets open square brackets 1 third close square brackets to the power of negative 1 end exponent minus open parentheses 1 fourth close parentheses to the power of negative 1 end exponent close curly brackets to the power of negative 1 end exponent$

Simplify.

$fraction numerator 25 cross times straight t to the power of negative 4 end exponent over denominator 5 to the power of negative 3 end exponent cross times 10 cross times straight t to the power of negative 8 end exponent end fraction$ (t≠0)

Find the value of:

$2 to the power of negative 3 end exponent$

Find the value of:

$1 over 3 to the power of negative 2 end exponent$

Express 4^–3 as a power with the base 2.

Find 'm' so that $left parenthesis negative 3 right parenthesis to the power of straight m plus 1 end exponent space cross times space left parenthesis negative 3 right parenthesis to the power of 5 space equals space left parenthesis negative 3 right parenthesis to the power of 7.$

Find the value of $open parentheses 2 over 3 close parentheses to the power of negative 2 end exponent$

Write the following number in standard form.

0.000000564

Write the following number in standard form.

0.0000021

Write the following numbers in standard form.

21600000

Write the following number in standard form.

15240000

Express the following numbers in standard form.

0.0000000000085

Express the following numbers in standard form.

0.00000000000942

Express the following numbers in standard form.

6020000000000000

Express the following numbers in standard form.

0.00000000837

Express the following numbers in standard form.

31860000000

Express the following numbers in usual form.

$space space 3 space cross times space 10 to the power of negative 8 end exponent space$

Express the following numbers in usual form.

$1.0001 space cross times space 10 to the power of 9$

Express the following numbers in usual form.

$5.8 space cross times space 10 to the power of 12$

Express the following numbers in usual form.

$space space 3.61492 space cross times space 10 to the power of 6$

Express the number appearing in the following statement in standard form.

1 micron is equal to $1 over 1000000$ m.

Express the number appearing in the following statement in standard form.

Charge of an electron is 0.000,000,000,000,000,000, 16 coulomb.

Express the number appearing in the following statement in standard form.

Size of a bacteria is 0.0000005 m

Express the number appearing in the following statement in standard form.

Size of a plant cell is 0.00001275 m

Express the number appearing in the following statement in standard form.

Thickness of a thick paper is 0.07 mm.

Write each of the following in standard form:
(i) 1,50,000,000,000 (ii) 0.000007

(iii) 0.0016 (iv) 0.00001278

Express the following numbers in standard form:

(i) 0.00035 (ii) 4050000

Express the following numbers in usual form:

(i) $3.52 space cross times space 10 to the power of 5$ (ii) $7.54 space cross times space 10 to the power of negative 5 end exponent$ (iii) $3 space cross times space 10 to the power of negative 5 end exponent$

Evaluate:
$left parenthesis negative 6 right parenthesis squared space cross times space open parentheses 2 over 3 close parentheses squared cross times open parentheses 2 over 5 close parentheses squared$

Find the value of: $left parenthesis 8 to the power of negative 0 end exponent plus 5 to the power of negative 1 end exponent right parenthesis to the power of negative 2 end exponent straight x 3 squared$

Find the value of $open parentheses 1 fourth close parentheses to the power of negative 2 end exponent plus open parentheses 1 third close parentheses to the power of negative 3 end exponent plus open parentheses 1 half close parentheses to the power of negative 4 end exponent$

Simplify: $open square brackets open parentheses fraction numerator negative 4 over denominator 5 end fraction close parentheses to the power of negative 2 end exponent close square brackets squared$

Find the value of m when $fraction numerator 5 to the power of straight m plus 5 to the power of negative 3 end exponent over denominator 5 squared end fraction space equals space 5 cubed$

Simplify : $space space fraction numerator 2 to the power of negative 5 end exponent cross times 10 to the power of negative 5 end exponent cross times 125 over denominator 5 to the power of negative 9 end exponent cross times 6 to the power of negative 5 end exponent end fraction$

Express 2.0001 x 10^–9 in usual form.

Simplify:

$left parenthesis negative 5 right parenthesis to the power of 5 space cross times space left parenthesis negative 5 right parenthesis to the power of 4$

Simplify:

$open square brackets 1 over 3 squared close square brackets cubed$

Evaluate:

$space space fraction numerator 5 to the power of negative 1 end exponent space cross times space 8 squared over denominator 2 to the power of negative 3 end exponent space cross times space 10 to the power of negative 1 end exponent end fraction$

Find the value of 'm' for which $6 to the power of straight m space plus space 6 cubed space equals space 6 to the power of 5.$

Evaluate:

$open square brackets open parentheses 1 half close parentheses to the power of negative 1 end exponent minus open parentheses 1 third close parentheses to the power of negative 1 end exponent close square brackets to the power of negative 1 end exponent$

Compare $7 space cross times space 10 to the power of 6$ and $129 space cross times space 10 to the power of 7.$

What is the value of $open parentheses 1 half close parentheses squared$ ?

$1 fourth$

4

1

What is the value of $3 cubed space divided by space 3 squared$ ?

3

$3 cubed$
$space 3 squared$

What is the value of $space space left square bracket left parenthesis negative 1 right parenthesis to the power of 1 right square bracket to the power of 1$ ?

1

-1

0

What is the value of 0.00007 in standard form?

$7 space cross times space 10 to the power of 4$
$7 cross times 10 to the power of negative 5 end exponent$
$7 space cross times space 10 to the power of 4$

What is the value of $4.05 space cross times space 10 to the power of 6$ in usual form?

40500

405000

4050000