What is \sqrt[3]{sqrt(a^6b^{12)}} ?

The solution to \sqrt[3]{sqrt(a^6b^{12)}} is ab^2

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simplify \sqrt[3]{sqrt(a^6b^{12)}}

simplify

a b^{2}

Solution steps

Simplify

a^{6} b^{12} : a^{3} b^{6}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

n

is odd

Simplify

= a b^{2}

\frac{72}{- 18}

11 x^{2} y^{3} (16 x^{2} y^{3})

(a^{2} - b^{2})^{3}

6 x^{4} y^{2} (x^{3} y^{3})

What is \sqrt[3]{sqrt(a^6b^{12)}} ?
The solution to \sqrt[3]{sqrt(a^6b^{12)}} is ab^2