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Popular >

simplify (\sqrt[3]{8})^6

Solution

simplify

(38)^{6}

Solution

64

Solution steps

(38)^{6}

Rewrite

6

as

3 \cdot 2

= (38)^{3 \cdot 2}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

(38)^{3 \cdot 2} = ((38)^{3})^{2}

= ((38)^{3})^{2}

Apply exponent rule:

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

(38)^{3} = 8

= 8^{2}

8^{2} = 64

= 64

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{8})^6 ?
The solution to (\sqrt[3]{8})^6 is 64