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Coordinate Geometry

Question

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Simplify:

$open parentheses 12 to the power of begin display style 1 fifth end style end exponent over 27 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of 5 over 2 end exponent$

Solution

Solution not provided.
Ans. $2 over 3$

Question

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Evaluate:

$open parentheses 32 over 243 close parentheses to the power of negative 4 over 5 end exponent$

Solution

Solution not provided.
Ans. $space space space space 81 over 16$

Question

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Evaluate:

$left parenthesis 0.00032 right parenthesis to the power of negative 2 over 5 end exponent$

Solution

Solution not provided.
Ans. 25

Question

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Evaluate:

$open parentheses 81 over 49 close parentheses to the power of negative 3 over 2 end exponent$

Solution

Solution not provided.
Ans. 2 $343 over 729$

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