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Popular >

simplify (4^{15})/(8^9)

Solution

simplify

\frac{4 ^{15}}{8 ^{9}}

Solution

8

Solution steps

\frac{4 ^{15}}{8 ^{9}}

Factor

8^{9} : 4^{9} \cdot 2^{9}

= \frac{4 ^{15}}{4 ^{9} \cdot 2 ^{9}}

\frac{4 ^{15}}{4 ^{9}} = 4^{6}

= \frac{4 ^{6}}{2 ^{9}}

Factor

4^{6} : 2^{12}

= \frac{2 ^{12}}{2 ^{9}}

Apply exponent rule:

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

= 2^{12 - 9}

Subtract the numbers:

12 - 9 = 3

= 2^{3}

2^{3} = 8

= 8

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Frequently Asked Questions (FAQ)

What is (4^{15})/(8^9) ?
The solution to (4^{15})/(8^9) is 8