What is ((64x^7)^{1/4})/(\sqrt[4]{x)} ?

The solution to ((64x^7)^{1/4})/(\sqrt[4]{x)} is 2*2^{1/2}x^{3/2}

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simplify ((64x^7)^{1/4})/(\sqrt[4]{x)}

simplify

2 \cdot 2^{\frac{1}{2}} x^{\frac{3}{2}}

Solution steps

Simplify

(64 x^{7})^{\frac{1}{4}} : 2 \cdot 2^{\frac{1}{2}} x^{\frac{7}{4}}

Apply radical rule:

= \frac{2 \cdot 2 ^{\frac{1}{2}} x ^{\frac{7}{4}}}{x ^{\frac{1}{4}}}

Simplify

\frac{x ^{\frac{7}{4}}}{x ^{\frac{1}{4}}} : x^{\frac{3}{2}}

= 2 \cdot 2^{\frac{1}{2}} x^{\frac{3}{2}}

(x^{2} - 1) (x^{2} - 4)

\frac{4}{7} \div 2

\frac{x ^{3} + 3 x ^{2}}{x ^{2} - 9}

2 x^{2} (3 x + 5 x^{2})

(2 - 7) (1 + 27)

What is ((64x^7)^{1/4})/(\sqrt[4]{x)} ?
The solution to ((64x^7)^{1/4})/(\sqrt[4]{x)} is 2*2^{1/2}x^{3/2}