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Popular >

simplify (4^7)/(4^9)

Solution

simplify

\frac{4 ^{7}}{4 ^{9}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

\frac{4 ^{7}}{4 ^{9}}

Apply exponent rule:

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

= 4^{7 - 9}

Subtract the numbers:

7 - 9 = - 2

= 4^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{4 ^{2}}

4^{2} = 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is (4^7)/(4^9) ?
The solution to (4^7)/(4^9) is 1/16