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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)^{n} = a^{n},

if

n

is even

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

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

Apply exponent rule:

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

= 4^{2 (- 3)}

2 (- 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