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Popular >

simplify (2^{15})/(2^5*2^6)

Solution

simplify

\frac{2 ^{15}}{2 ^{5} \cdot 2 ^{6}}

Solution

16

Solution steps

\frac{2 ^{15}}{2 ^{5} \cdot 2 ^{6}}

\frac{2 ^{15}}{2 ^{5}} = 2^{10}

= \frac{2 ^{10}}{2 ^{6}}

Apply exponent rule:

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

= 2^{10 - 6}

Subtract the numbers:

10 - 6 = 4

= 2^{4}

2^{4} = 16

= 16

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Frequently Asked Questions (FAQ)

What is (2^{15})/(2^5*2^6) ?
The solution to (2^{15})/(2^5*2^6) is 16