What is \sqrt[5]{sqrt((7x)^3)} ?

The solution to \sqrt[5]{sqrt((7x)^3)} is \sqrt[5]{7}\sqrt[5]{sqrt(7)x^{3/2}}

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simplify \sqrt[5]{sqrt((7x)^3)}

simplify

Solution steps

(7 x)^{3} : (7 x)^{\frac{3}{2}}

(7 x)^{\frac{3}{2}} = 77 x^{\frac{3}{2}}

Apply radical rule:

assuming

a \geq 0, b \geq 0

((e^{x})^{5})^{2}

0.41 \cdot 1 0^{- 6}

(e^{x})^{8}

(3 x^{6}) (5 x)

t^{2} (2 cos (t) - sin (t) t)^{2}

What is \sqrt[5]{sqrt((7x)^3)} ?
The solution to \sqrt[5]{sqrt((7x)^3)} is \sqrt[5]{7}\sqrt[5]{sqrt(7)x^{3/2}}