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Popular >

simplify (\sqrt[3]{4ab^2})^6

Solution

simplify

Solution

16 a^{2} b^{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

= (4 a b^{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(4 a b^{2})^{2} = 4^{2} a^{2} (b^{2})^{2}

= 4^{2} a^{2} (b^{2})^{2}

4^{2} = 16

= 16 a^{2} (b^{2})^{2}

Simplify

(b^{2})^{2} : b^{4}

= 16 a^{2} b^{4}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{4ab^2})^6 ?
The solution to (\sqrt[3]{4ab^2})^6 is 16a^2b^4