What is (2x^{-7/4})/(4x^{4/3)} ?

The solution to (2x^{-7/4})/(4x^{4/3)} is 1/(2x^{37/12)}

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simplify (2x^{-7/4})/(4x^{4/3)}

simplify

\frac{2 x ^{- \frac{7}{4}}}{4 x ^{\frac{4}{3}}}

\frac{1}{2 x ^{\frac{37}{12}}}

Solution steps

\frac{2 x ^{- \frac{7}{4}}}{4 x ^{\frac{4}{3}}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 x ^{- \frac{7}{4}}}{2 \cdot 2 x ^{\frac{4}{3}}}

Cancel the common factor:

2

= \frac{x ^{- \frac{7}{4}}}{2 x ^{\frac{4}{3}}}

Simplify

\frac{x ^{- \frac{7}{4}}}{x ^{\frac{4}{3}}} : \frac{1}{x ^{\frac{37}{12}}}

= \frac{1}{2 x ^{\frac{37}{12}}}

\frac{144}{16}

\frac{x}{\frac{1}{x}}

(x - 3)^{2} + (y - 2)^{2}

(4 - i)^{3}

(x + \frac{1}{4})^{2}

What is (2x^{-7/4})/(4x^{4/3)} ?
The solution to (2x^{-7/4})/(4x^{4/3)} is 1/(2x^{37/12)}