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Popular >

simplify \sqrt[3]{-8}^4

Solution

simplify

3 - 8^{4}

Solution

16

Solution steps

(3 - 8)^{4}

Apply exponent rule:

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

(3 - 8)^{3 + 1} = (3 - 8)^{3} 3 - 8

= (3 - 8)^{3} 3 - 8

Apply exponent rule:

(n a)^{n} = a, n i s o dd or a \geq 0

(3 - 8)^{3} = - 8

= - 8 3 - 8

Apply radical rule:

n - a = - n a,

if

n

is odd

3 - 8 = - 38

= - 8 (- 38)

Factor the number:

8 = 2^{3}

= - 8 (- 3 2^{3})

Apply radical rule:

n a^{n} = a, a \geq 0

3 2^{3} = 2

= - 8 (- 2)

Remove parentheses:

- 8 (- 2) = 8 \cdot 2

= 8 \cdot 2

Multiply the numbers:

8 \cdot 2 = 16

= 16

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{-8}^4 ?
The solution to \sqrt[3]{-8}^4 is 16