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Popular >

simplify \sqrt[3]{(-8)^{12}}

Solution

simplify

Solution

4096

Solution steps

Apply exponent rule:

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

if

n

is even

(- 8)^{12} = 8^{12}

Apply radical rule:

= 8^{\frac{12}{3}}

Divide the numbers:

\frac{12}{3} = 4

= 8^{4}

8^{4} = 4096

= 4096

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{(-8)^{12}} ?
The solution to \sqrt[3]{(-8)^{12}} is 4096