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What is 2 to the third power over 2 to the fifth power?

1 Answer

Jan 30, 2016

$2^{- 2} = \frac{1}{4}$ $2^-2 =1/4$

Explanation:

For this question use.

$∙ \frac{a^{m}}{a^{n}} = a^{m - n}$ $• a^m/a^n = a^(m-n)$

so $\frac{2^{3}}{2^{5}} = 2^{3 - 5} = 2^{- 2}$ $2^3/2^5 = 2^ (3-5) = 2^-2$

now $a^{- m} = \frac{1}{a^{m}}$ $a^-m = 1/a^m$

hence $2^{- 2} = \frac{1}{2^{2}} = \frac{1}{4}$ $2^-2 = 1/2^2 = 1/4$

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