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

The solution to (2x^{3/2})/((16^4)^{1/4)} is (x^{3/2})/8

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

simplify

\frac{2 x ^{\frac{3}{2}}}{( 1 6 ^{4} ) ^{\frac{1}{4}}}

\frac{x ^{\frac{3}{2}}}{8}

Solution steps

\frac{2 x ^{\frac{3}{2}}}{( 1 6 ^{4} ) ^{\frac{1}{4}}}

(1 6^{4})^{\frac{1}{4}} = 16

= \frac{2 x ^{\frac{3}{2}}}{16}

Factor the number:

16 = 2 \cdot 8

= \frac{2 x ^{\frac{3}{2}}}{2 \cdot 8}

Cancel the common factor:

2

= \frac{x ^{\frac{3}{2}}}{8}

4 \cdot 5

\frac{216}{9}

2 x^{2} - 10 x - 28

\frac{5}{3} - \frac{4}{3}

What is (2x^{3/2})/((16^4)^{1/4)} ?
The solution to (2x^{3/2})/((16^4)^{1/4)} is (x^{3/2})/8