What is ((-1/3*a^2*b^3)^3)/(((-a^2*b)^2)) ?

The solution to ((-1/3*a^2*b^3)^3)/(((-a^2*b)^2)) is -(a^2b^7)/(27)

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simplify ((-1/3a^2b^3)^3)/(((-a^2*b)^2))

simplify

\frac{( - \frac{1}{3} \cdot a ^{2} \cdot b ^{3} ) ^{3}}{( ( - a ^{2} \cdot b ) ^{2} )}

- \frac{a ^{2} b ^{7}}{27}

Solution steps

\frac{( - \frac{1}{3} a ^{2} b ^{3} ) ^{3}}{( - a ^{2} b ) ^{2}}

Simplify

(- \frac{1}{3} a^{2} b^{3})^{3} : - \frac{a ^{6} b ^{9}}{27}

= \frac{- \frac{a ^{6} b ^{9}}{27}}{( - a ^{2} b ) ^{2}}

Simplify

(- a^{2} b)^{2} : a^{4} b^{2}

= \frac{- \frac{a ^{6} b ^{9}}{27}}{a ^{4} b ^{2}}

Apply the fraction rule:

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

= - \frac{\frac{a ^{6} b ^{9}}{27}}{a ^{4} b ^{2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

\frac{\frac{a ^{6} b ^{9}}{27}}{a ^{4} b ^{2}} = \frac{a ^{6} b ^{9}}{27 a ^{4} b ^{2}}

= - \frac{a ^{6} b ^{9}}{27 a ^{4} b ^{2}}

Simplify

\frac{a ^{6}}{a ^{4}} : a^{2}

= - \frac{a ^{2} b ^{9}}{27 b ^{2}}

Simplify

\frac{b ^{9}}{b ^{2}} : b^{7}

= - \frac{a ^{2} b ^{7}}{27}

2 x + x - 12

4 y - 4

4 y - 6

(x - 3)^{3} + (2 - x)^{3}

x^{2} - 6 (y - 2)

What is ((-1/3*a^2*b^3)^3)/(((-a^2*b)^2)) ?
The solution to ((-1/3*a^2*b^3)^3)/(((-a^2*b)^2)) is -(a^2b^7)/(27)