What is (3a^2b^{-4})/(12a^{-2)b^{-2}} ?

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

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simplify (3a^2b^{-4})/(12a^{-2)b^{-2}}

simplify

\frac{3 a ^{2} b ^{- 4}}{12 a ^{- 2} b ^{- 2}}

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

Solution steps

\frac{3 a ^{2} b ^{- 4}}{12 a ^{- 2} b ^{- 2}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 a ^{2} b ^{- 4}}{3 \cdot 4 a ^{- 2} b ^{- 2}}

Cancel the common factor:

3

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

Simplify

\frac{a ^{2}}{a ^{- 2}} : a^{4}

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

Simplify

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

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

4 8^{\frac{1}{4}}

3 x (5 - x) = 2

(\frac{1 2 ^{- 4}}{3 ^{2}})^{2} (\frac{5}{2})^{- 2}

(- a^{3} b)^{4}

2 \cdot 23

What is (3a^2b^{-4})/(12a^{-2)b^{-2}} ?
The solution to (3a^2b^{-4})/(12a^{-2)b^{-2}} is (a^4)/(4b^2)