What is (-3x^{-2})(4x^4) ?

The solution to (-3x^{-2})(4x^4) is -12x^2

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

simplify

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

- 12 x^{2}

Solution steps

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

Apply rule:

(- a) = - a

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

= - 3 x^{- 2} \cdot 4 x^{4}

Multiply the numbers:

- 3 \cdot 4 = - 12

= - 12 x^{- 2} x^{4}

Apply exponent rule:

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

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

= - 12 x^{- 2 + 4}

Add/Subtract the numbers:

- 2 + 4 = 2

= - 12 x^{2}

18 x^{4} + 12 x^{3} - 6 x

12 x + 4 [6 - (3 x + 2)]

224 \cdot \frac{5}{4}

\frac{6}{3} + \frac{2}{5} + \frac{6}{4}

\frac{135}{360} (π (16)^{2})