What is (6a^{-3})(-2a^4) ?

The solution to (6a^{-3})(-2a^4) is -12a

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simplify (6a^{-3})(-2a^4)

simplify

(6 a^{- 3}) (- 2 a^{4})

- 12 a

Solution steps

(6 a^{- 3}) (- 2 a^{4})

Apply rule:

a (- b) = - ab

(6 a^{- 3}) (- 2 a^{4}) = - 6 a^{- 3} \cdot 2 a^{4}

= - 6 a^{- 3} \cdot 2 a^{4}

Multiply the numbers:

- 6 \cdot 2 = - 12

= - 12 a^{- 3} a^{4}

Apply exponent rule:

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

a^{- 3} a^{4} = a^{- 3 + 4}

= - 12 a^{- 3 + 4}

Add/Subtract the numbers:

- 3 + 4 = 1

= - 12 a^{1}

Apply exponent rule:

a^{1} = a

a^{1} = a

= - 12 a

\frac{2}{3 7}

\frac{5}{2} \div \frac{1}{2}

8 - 6 i

(- 6 x)^{2}

s^{2} + 3 s - 4