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Popular >

simplify ((2^5)/(2^3))^2

Solution

simplify

(\frac{2 ^{5}}{2 ^{3}})^{2}

Solution

16

Solution steps

(\frac{2 ^{5}}{2 ^{3}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 ^{5} ) ^{2}}{( 2 ^{3} ) ^{2}}

(2^{5})^{2} = 1024

= \frac{1024}{( 2 ^{3} ) ^{2}}

(2^{3})^{2} = 64

= \frac{1024}{64}

Divide the numbers:

\frac{1024}{64} = 16

= 16

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Frequently Asked Questions (FAQ)

What is ((2^5)/(2^3))^2 ?
The solution to ((2^5)/(2^3))^2 is 16