What is (32a^5b^{-3})/(8a^{-2)b^6} ?

The solution to (32a^5b^{-3})/(8a^{-2)b^6} is (4a^7)/(b^9)

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simplify (32a^5b^{-3})/(8a^{-2)b^6}

simplify

\frac{32 a ^{5} b ^{- 3}}{8 a ^{- 2} b ^{6}}

\frac{4 a ^{7}}{b ^{9}}

Solution steps

\frac{32 a ^{5} b ^{- 3}}{8 a ^{- 2} b ^{6}}

Factor the number:

32 = 8 \cdot 4

= \frac{8 \cdot 4 a ^{5} b ^{- 3}}{8 a ^{- 2} b ^{6}}

Cancel the common factor:

8

= \frac{4 a ^{5} b ^{- 3}}{a ^{- 2} b ^{6}}

Simplify

\frac{a ^{5}}{a ^{- 2}} : a^{7}

= \frac{4 a ^{7} b ^{- 3}}{b ^{6}}

Simplify

\frac{b ^{- 3}}{b ^{6}} : \frac{1}{b ^{9}}

= \frac{4 a ^{7}}{b ^{9}}

6 x^{2} + 17 x = 3

\frac{5.0 5 ^{2} - 5 ( 5.05 )}{5.0 5 ^{2} - 25}

3 (x + 4)^{2} - 3 = 0

n^{2} + 17 n + 70

10 n + 12 - 9 - 7 n + 4 n = 31

What is (32a^5b^{-3})/(8a^{-2)b^6} ?
The solution to (32a^5b^{-3})/(8a^{-2)b^6} is (4a^7)/(b^9)