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

The solution to ((-2x^5-3x^2))/((x^{-2))} is -x^4(2x^3+3)

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simplify ((-2x^5-3x^2))/((x^{-2))}

simplify

\frac{( - 2 x ^{5} - 3 x ^{2} )}{( x ^{- 2} )}

- x^{4} (2 x^{3} + 3)

Solution steps

\frac{- 2 x ^{5} - 3 x ^{2}}{x ^{- 2}}

Factor

- 2 x^{5} - 3 x^{2} : - x^{2} (2 x^{3} + 3)

= \frac{- x ^{2} ( 2 x ^{3} + 3 )}{x ^{- 2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = x^{- 2} x^{4}

= \frac{- x ^{- 2} x ^{4} ( 2 x ^{3} + 3 )}{x ^{- 2}}

Cancel the common factor:

x^{- 2}

= - x^{4} (2 x^{3} + 3)

(3 x - 4 y)^{3} - (3 x - 4 y)^{3}

\frac{( 16 x ^{4} )}{( 32 x ^{4} + 48 x ^{4} )}

1 + 128 x^{14}

(5 x + 2 y) + (3 x - 5 y) - (6 x + 4 y)

(\frac{( 3 a ^{2} )}{( a ^{- 2} \cdot b ^{3} \cdot c ^{2} )})^{- 2}

What is ((-2x^5-3x^2))/((x^{-2))} ?
The solution to ((-2x^5-3x^2))/((x^{-2))} is -x^4(2x^3+3)