What is (2x^{3/2})/((16x^4)^{1/4)} ?

The solution to (2x^{3/2})/((16x^4)^{1/4)} is x^{1/2}

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simplify (2x^{3/2})/((16x^4)^{1/4)}

simplify

\frac{2 x ^{\frac{3}{2}}}{( 16 x ^{4} ) ^{\frac{1}{4}}}

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

Solution steps

\frac{2 x ^{\frac{3}{2}}}{( 16 x ^{4} ) ^{\frac{1}{4}}}

Simplify

(16 x^{4})^{\frac{1}{4}} : 2 x

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

Cancel the common factor:

2

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

Simplify

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

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

\frac{3}{2 x - 2} + \frac{x + 1}{4}

\frac{18}{16}

(\frac{3 x ^{\frac{3}{2}} y ^{3}}{x ^{2} y ^{\frac{- 1}{2}}})^{- 2}

\frac{i ^{12} + i ^{16} - 2 i ^{18}}{i ^{8} + i ^{10}}

\frac{( 2 ^{5} ) ^{2}}{2 ^{6} \cdot 4}

What is (2x^{3/2})/((16x^4)^{1/4)} ?
The solution to (2x^{3/2})/((16x^4)^{1/4)} is x^{1/2}