Question

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

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

Solution

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

∴ $straight a to the power of straight m divided by straight a to the power of straight n equals straight a to the power of straight m minus straight n end exponent$

∴ $left parenthesis negative 4 right parenthesis to the power of 5 divided by left parenthesis negative 4 right parenthesis to the power of 8 equals left parenthesis negative 4 right parenthesis to the power of 5 minus 8 end exponent equals left parenthesis negative 4 right parenthesis to the power of negative 3 end exponent equals fraction numerator 1 over denominator left parenthesis negative 4 right parenthesis cubed end fraction$

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Exponents And Powers

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

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

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