What is \sqrt[4]{sqrt(a^{16)b^{24}}} ?

The solution to \sqrt[4]{sqrt(a^{16)b^{24}}} is a^2b^3

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simplify \sqrt[4]{sqrt(a^{16)b^{24}}}

simplify

a^{2} b^{3}

Solution steps

Simplify

a^{16} b^{24} : a^{8} b^{12}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Simplify

= a^{2} b^{3}

- 7 x^{2} y^{2} (5 x^{2} - 9 x y - 12 y^{2})

3 + 2 x x^{2} - 1 3 - 2 x

(4 a^{3} b^{5}) (2 a^{2} b^{4})

e^{- 2.1}

What is \sqrt[4]{sqrt(a^{16)b^{24}}} ?
The solution to \sqrt[4]{sqrt(a^{16)b^{24}}} is a^2b^3