What is (2a^{-3}b^{-2})/(4a^{-6)b^8} ?

The solution to (2a^{-3}b^{-2})/(4a^{-6)b^8} is (a^3)/(2b^{10)}

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simplify (2a^{-3}b^{-2})/(4a^{-6)b^8}

simplify

\frac{2 a ^{- 3} b ^{- 2}}{4 a ^{- 6} b ^{8}}

\frac{a ^{3}}{2 b ^{10}}

Solution steps

\frac{2 a ^{- 3} b ^{- 2}}{4 a ^{- 6} b ^{8}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 a ^{- 3} b ^{- 2}}{2 \cdot 2 a ^{- 6} b ^{8}}

Cancel the common factor:

2

= \frac{a ^{- 3} b ^{- 2}}{2 a ^{- 6} b ^{8}}

Simplify

\frac{a ^{- 3}}{a ^{- 6}} : a^{3}

= \frac{a ^{3} b ^{- 2}}{2 b ^{8}}

Simplify

\frac{b ^{- 2}}{b ^{8}} : \frac{1}{b ^{10}}

= \frac{a ^{3}}{2 b ^{10}}

- 5 x - 7 < - 3 x + 9 < - 5 x + 5

\frac{4 n ^{5}}{8 n}

g (- 2) = 4^{- 2}

y^{2} = - 100

1 = \frac{3}{4} a^{2}

What is (2a^{-3}b^{-2})/(4a^{-6)b^8} ?
The solution to (2a^{-3}b^{-2})/(4a^{-6)b^8} is (a^3)/(2b^{10)}