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Popular >

simplify (4^{-2})^3

Solution

simplify

(4^{- 2})^{3}

Solution

\frac{1}{4096}

+1

Decimal Notation

0.00024 \dots

Solution steps

(4^{- 2})^{3}

Apply exponent rule:

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

= 4^{- 2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 4^{- 6}

Apply exponent rule:

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

4^{- 6} = \frac{1}{4 ^{6}}

= \frac{1}{4 ^{6}}

4^{6} = 4096

= \frac{1}{4096}

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Frequently Asked Questions (FAQ)

What is (4^{-2})^3 ?
The solution to (4^{-2})^3 is 1/4096