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Popular >

simplify [(-2)^3]^3

Solution

simplify

[(- 2)^{3}]^{3}

Solution

- 512

Solution steps

[(- 2)^{3}]^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (- 2)^{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= (- 2)^{9}

Apply exponent rule:

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

if

n

is odd

(- 2)^{9} = - 2^{9}

= - 2^{9}

2^{9} = 512

= - 512

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Frequently Asked Questions (FAQ)

What is [(-2)^3]^3 ?
The solution to [(-2)^3]^3 is -512