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Popular >

simplify [(-2)^5]^3

Solution

simplify

[(- 2)^{5}]^{3}

Solution

- 32768

Solution steps

[(- 2)^{5}]^{3}

Apply exponent rule:

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

= (- 2)^{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= (- 2)^{15}

Apply exponent rule:

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

if

n

is odd

(- 2)^{15} = - 2^{15}

= - 2^{15}

2^{15} = 32768

= - 32768

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Frequently Asked Questions (FAQ)

What is [(-2)^5]^3 ?
The solution to [(-2)^5]^3 is -32768