What is (9a^5b^5)/(81a^{-6)b^2} ?

The solution to (9a^5b^5)/(81a^{-6)b^2} is (a^{11}b^3)/9

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simplify (9a^5b^5)/(81a^{-6)b^2}

simplify

\frac{9 a ^{5} b ^{5}}{81 a ^{- 6} b ^{2}}

\frac{a ^{11} b ^{3}}{9}

Solution steps

\frac{9 a ^{5} b ^{5}}{81 a ^{- 6} b ^{2}}

Factor the number:

81 = 9 \cdot 9

= \frac{9 a ^{5} b ^{5}}{9 \cdot 9 a ^{- 6} b ^{2}}

Cancel the common factor:

9

= \frac{a ^{5} b ^{5}}{9 a ^{- 6} b ^{2}}

Simplify

\frac{a ^{5}}{a ^{- 6}} : a^{11}

= \frac{a ^{11} b ^{5}}{9 b ^{2}}

Simplify

\frac{b ^{5}}{b ^{2}} : b^{3}

= \frac{a ^{11} b ^{3}}{9}

(- 2 + 3 i) + (5 - 2 i)

x^{2} + 3 x + 2 \leq 4

- 5 x - 2 \leq 0

2 \cdot 8

n^{4} - 81

What is (9a^5b^5)/(81a^{-6)b^2} ?
The solution to (9a^5b^5)/(81a^{-6)b^2} is (a^{11}b^3)/9