What is ((2^5)^2)/(2^6*4) ?

The solution to ((2^5)^2)/(2^6*4) is 4

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simplify ((2^5)^2)/(2^6*4)

simplify

\frac{( 2 ^{5} ) ^{2}}{2 ^{6} \cdot 4}

4

Solution steps

\frac{( 2 ^{5} ) ^{2}}{2 ^{6} \cdot 4}

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

= \frac{1024}{2 ^{6} \cdot 4}

Factor the number:

1024 = 4 \cdot 256

= \frac{4 \cdot 256}{2 ^{6} \cdot 4}

Cancel the common factor:

4

= \frac{256}{2 ^{6}}

Factor the number:

256 = 2^{8}

= \frac{2 ^{8}}{2 ^{6}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 2^{8 - 6}

Subtract the numbers:

8 - 6 = 2

= 2^{2}

2^{2} = 4

= 4

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1.0 1^{365}

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