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Popular >

simplify (4^2)/(4^7)

Solution

simplify

\frac{4 ^{2}}{4 ^{7}}

Solution

\frac{1}{1024}

+1

Decimal Notation

0.0009765625

Solution steps

\frac{4 ^{2}}{4 ^{7}}

Apply exponent rule:

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

= 4^{2 - 7}

Subtract the numbers:

2 - 7 = - 5

= 4^{- 5}

Apply exponent rule:

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

= \frac{1}{4 ^{5}}

4^{5} = 1024

= \frac{1}{1024}

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Frequently Asked Questions (FAQ)

What is (4^2)/(4^7) ?
The solution to (4^2)/(4^7) is 1/1024