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

The solution to (5x^3)(-3x^{-2}) is -15x

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

simplify

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

- 15 x

Solution steps

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

Apply rule:

a (- b) = - ab

(5 x^{3}) (- 3 x^{- 2}) = - 5 x^{3} \cdot 3 x^{- 2}

= - 5 x^{3} \cdot 3 x^{- 2}

Multiply the numbers:

- 5 \cdot 3 = - 15

= - 15 x^{3} x^{- 2}

Apply exponent rule:

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

x^{3} x^{- 2} = x^{3 - 2}

= - 15 x^{3 - 2}

Subtract the numbers:

3 - 2 = 1

= - 15 x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= - 15 x

(2 - i) (3 + 2 i)

\frac{32}{36}

(3 a^{2} + 2 a - 2) - (a^{2} - 3 a + 7)

(m^{3} - 3 m^{2} n + 2 m n^{2}) (m^{2} - 2 mn - 8 n^{2})

10 \frac{1}{4}