What is ((-27a^4*b^3))/((-9a^2*b)) ?

The solution to ((-27a^4*b^3))/((-9a^2*b)) is 3a^2b^2

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simplify ((-27a^4b^3))/((-9a^2b))

simplify

\frac{( - 27 a ^{4} \cdot b ^{3} )}{( - 9 a ^{2} \cdot b )}

3 a^{2} b^{2}

Solution steps

\frac{- 27 a ^{4} b ^{3}}{- 9 a ^{2} b}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{27 a ^{4} b ^{3}}{9 a ^{2} b}

Factor the number:

27 = 9 \cdot 3

= \frac{9 \cdot 3 a ^{4} b ^{3}}{9 a ^{2} b}

Cancel the common factor:

9

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

Simplify

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

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

Simplify

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

= 3 a^{2} b^{2}

x^{4} - y^{18}

[\frac{y}{3} - \frac{x}{2}]^{3}

(x^{3} + 3)^{3}

\frac{( x x ^{2} + 1 )}{( ( x + 1 ) ^{\frac{2}{3}} )}

(3 a^{2} - 2 b^{3}) 3

What is ((-27a^4*b^3))/((-9a^2*b)) ?
The solution to ((-27a^4*b^3))/((-9a^2*b)) is 3a^2b^2