What is (-5(u)^2)/(10u^{-7)} ?

The solution to (-5(u)^2)/(10u^{-7)} is -(u^9)/2

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simplify (-5(u)^2)/(10u^{-7)}

simplify

\frac{- 5 ( u ) ^{2}}{10 u ^{- 7}}

- \frac{u ^{9}}{2}

Solution steps

\frac{- 5 u ^{2}}{10 u ^{- 7}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{5 u ^{2}}{10 u ^{- 7}}

Cancel the common factor:

5

= \frac{u ^{2}}{2 u ^{- 7}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{u ^{2}}{u ^{- 7}} = u^{2 - (- 7)}

= \frac{u ^{2 - (- 7)}}{2}

Subtract the numbers:

2 - (- 7) = 9

= - \frac{u ^{9}}{2}

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

3 (1 - t)^{2}

(i - 2)^{2}

10 a^{4} - 3 a^{2} + a