What is (y^5-5y^3+2y)/(y^{-3)} ?

The solution to (y^5-5y^3+2y)/(y^{-3)} is (y^5-5y^3+2y)y^3

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simplify (y^5-5y^3+2y)/(y^{-3)}

simplify

\frac{y ^{5} - 5 y ^{3} + 2 y}{y ^{- 3}}

(y^{5} - 5 y^{3} + 2 y) y^{3}

Solution steps

\frac{y ^{5} - 5 y ^{3} + 2 y}{y ^{- 3}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

y^{- 3} = \frac{1}{y ^{3}}

= \frac{y ^{5} - 5 y ^{3} + 2 y}{\frac{1}{y ^{3}}}

Apply the fraction rule:

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

= \frac{( y ^{5} - 5 y ^{3} + 2 y ) y ^{3}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= (y^{5} - 5 y^{3} + 2 y) y^{3}

\frac{2 ( r ) ^{2}}{6 r ^{5}}

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

2 x 32 x^{2}

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

\frac{3}{5} \div \frac{9}{10}

What is (y^5-5y^3+2y)/(y^{-3)} ?
The solution to (y^5-5y^3+2y)/(y^{-3)} is (y^5-5y^3+2y)y^3