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Popular >

simplify (4^7)^{-2}

Solution

simplify

(4^{7})^{- 2}

Solution

\frac{1}{268435456}

+1

Solution steps

(4^{7})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4^{7 (- 2)}

7 (- 2) = - 14

= 4^{- 14}

Apply exponent rule:

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

4^{- 14} = \frac{1}{4 ^{14}}

= \frac{1}{4 ^{14}}

4^{14} = 268435456

= \frac{1}{268435456}

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Frequently Asked Questions (FAQ)

What is (4^7)^{-2} ?
The solution to (4^7)^{-2} is 1/268435456