What is \sqrt[4]{sqrt(a^4b^6)} ?

The solution to \sqrt[4]{sqrt(a^4b^6)} is \sqrt[8]{a^4b^6}

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simplify \sqrt[4]{sqrt(a^4b^6)}

simplify

Solution steps

Apply radical rule:

= ((a^{4} b^{6})^{\frac{1}{2}})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (a^{4} b^{6})^{\frac{1}{2} \cdot \frac{1}{4}}

\frac{1}{2} \cdot \frac{1}{4} = \frac{1}{8}

= (a^{4} b^{6})^{\frac{1}{8}}

(1.8 \cdot 1 0^{- 5}) \cdot (0.2 - x)

e^{- 3 \cdot 3}

\frac{- 3.84 \cdot 1 0 ^{- 4}}{64} \cdot (e^{- \frac{448}{64}})

- e^{- t} \cdot u (- t)

What is \sqrt[4]{sqrt(a^4b^6)} ?
The solution to \sqrt[4]{sqrt(a^4b^6)} is \sqrt[8]{a^4b^6}