What is (-48a^5b^{-4})/(12a^{-4)b^{-2}} ?

The solution to (-48a^5b^{-4})/(12a^{-4)b^{-2}} is -(4a^9)/(b^2)

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simplify (-48a^5b^{-4})/(12a^{-4)b^{-2}}

simplify

\frac{- 48 a ^{5} b ^{- 4}}{12 a ^{- 4} b ^{- 2}}

- \frac{4 a ^{9}}{b ^{2}}

Solution steps

\frac{- 48 a ^{5} b ^{- 4}}{12 a ^{- 4} b ^{- 2}}

Factor the number:

48 = 12 \cdot 4

= \frac{- 12 \cdot 4 a ^{5} b ^{- 4}}{12 a ^{- 4} b ^{- 2}}

Cancel the common factor:

12

= \frac{- 4 a ^{5} b ^{- 4}}{a ^{- 4} b ^{- 2}}

Simplify

\frac{a ^{5}}{a ^{- 4}} : a^{9}

= \frac{- 4 a ^{9} b ^{- 4}}{b ^{- 2}}

Simplify

\frac{b ^{- 4}}{b ^{- 2}} : \frac{1}{b ^{2}}

= \frac{- 4 a ^{9}}{b ^{2}}

Apply the fraction rule:

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

= - \frac{4 a ^{9}}{b ^{2}}

x^{3} + 1 - x^{2} - x

(3 x^{- 4} \cdot y^{- 6})^{- 5}

(5 a - 4)^{3}

36 (2 x + 3)^{2}

\frac{x ^{2}}{( x ( x - 1 ) ^{3} )}

What is (-48a^5b^{-4})/(12a^{-4)b^{-2}} ?
The solution to (-48a^5b^{-4})/(12a^{-4)b^{-2}} is -(4a^9)/(b^2)