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Popular >

simplify (\sqrt[3]{-216})^5

Solution

simplify

Solution

- 7776

Solution steps

Apply exponent rule:

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

Apply exponent rule:

= - 216 (- 6)^{2}

Apply exponent rule:

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

if

n

is even

(- 6)^{2} = 6^{2}

= - 216 \cdot 6^{2}

6^{2} = 36

= - 216 \cdot 36

Multiply the numbers:

- 216 \cdot 36 = - 7776

= - 7776

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{-216})^5 ?
The solution to (\sqrt[3]{-216})^5 is -7776