What is x^2+((x^5)/2)/((x^{-1))/2} ?

The solution to x^2+((x^5)/2)/((x^{-1))/2} is x^2+x^6

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simplify x^2+((x^5)/2)/((x^{-1))/2}

simplify

x^{2} + \frac{\frac{x ^{5}}{2}}{\frac{x ^{- 1}}{2}}

x^{2} + x^{6}

Solution steps

x^{2} + \frac{\frac{x ^{5}}{2}}{\frac{x ^{- 1}}{2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

\frac{\frac{x ^{5}}{2}}{\frac{x ^{- 1}}{2}} = \frac{x ^{5} \cdot 2}{2 x ^{- 1}}

= x^{2} + \frac{x ^{5} \cdot 2}{2 x ^{- 1}}

Cancel

\frac{x ^{5} \cdot 2}{2 x ^{- 1}} : x^{6}

= x^{2} + x^{6}

\frac{1}{8} p^{3} + \frac{1}{27} q^{3}

2 a (a + 3)

\frac{( ( 3 a ^{7} ) ( 2 a ^{5} ) )}{( 24 a ^{15} )}

(d) - 4. 2^{n} - \frac{( - 1 )}{4} \cdot n^{2} - \frac{1}{5} \cdot n + \frac{1}{8}

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

What is x^2+((x^5)/2)/((x^{-1))/2} ?
The solution to x^2+((x^5)/2)/((x^{-1))/2} is x^2+x^6