What is (-9a^5b^8)/(3a^2b^4) ?

The solution to (-9a^5b^8)/(3a^2b^4) is -3a^3b^4

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simplify (-9a^5b^8)/(3a^2b^4)

simplify

\frac{- 9 a ^{5} b ^{8}}{3 a ^{2} b ^{4}}

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

Solution steps

\frac{- 9 a ^{5} b ^{8}}{3 a ^{2} b ^{4}}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Simplify

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

= \frac{- 3 a ^{3} b ^{8}}{b ^{4}}

Simplify

\frac{b ^{8}}{b ^{4}} : b^{4}

= - 3 a^{3} b^{4}

\frac{4}{15}

5 x^{4} + 20 x^{3} - 105 x^{2}

\frac{( x ^{6} - x ^{3} - 2 )}{( x ^{6} + x ^{3} )}

\frac{5 2}{2} \cdot 2

n^{2} - 5 n + 4 = 0