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Popular >

simplify (4^{-2})^5

Solution

simplify

(4^{- 2})^{5}

Solution

\frac{1}{1048576}

+1

Decimal Notation

9.53674 E - 7

Solution steps

(4^{- 2})^{5}

Apply exponent rule:

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

= 4^{- 2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= 4^{- 10}

Apply exponent rule:

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

4^{- 10} = \frac{1}{4 ^{10}}

= \frac{1}{4 ^{10}}

4^{10} = 1048576

= \frac{1}{1048576}

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Frequently Asked Questions (FAQ)

What is (4^{-2})^5 ?
The solution to (4^{-2})^5 is 1/1048576