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Popular >

simplify (\sqrt[3]{a^2})^6

Solution

simplify

Solution

a^{4}

Solution steps

Rewrite

6

as

3 \cdot 2

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

Apply exponent rule:

assuming

n i s o dd or a \geq 0

= (a^{2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= a^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= a^{4}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{a^2})^6 ?
The solution to (\sqrt[3]{a^2})^6 is a^4