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Popular >

simplify (\sqrt[3]{-8})^5

Solution

simplify

Solution

- 32

Solution steps

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

Apply exponent rule:

= - 8 (- 2)^{2}

Apply exponent rule:

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

if

n

is even

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

= - 8 \cdot 2^{2}

2^{2} = 4

= - 8 \cdot 4

Multiply the numbers:

- 8 \cdot 4 = - 32

= - 32

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{-8})^5 ?
The solution to (\sqrt[3]{-8})^5 is -32