What is (a^2b^{-2})^{-3}(a^3)^{-2} ?

The solution to (a^2b^{-2})^{-3}(a^3)^{-2} is (b^6)/(a^{12)}

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

simplify

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

\frac{b ^{6}}{a ^{12}}

Solution steps

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

Simplify

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

= \frac{b ^{6}}{a ^{6}} (a^{3})^{- 2}

Simplify

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

= \frac{b ^{6}}{a ^{6}} \cdot \frac{1}{a ^{6}}

Apply the fraction rule:

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

= \frac{b ^{6} \cdot 1}{a ^{6} a ^{6}}

Apply rule:

a \cdot 1 = a

b^{6} \cdot 1 = b^{6}

= \frac{b ^{6}}{a ^{6} a ^{6}}

Simplify

a^{6} a^{6} : a^{12}

= \frac{b ^{6}}{a ^{12}}

2 x 3

(1 + 5)^{3}

3 x^{2} + 5 + 4 x - 2 - x^{2} - 3 x + 1

27 a^{2} + 72 ab + 48 b^{2}

135 \div 15

What is (a^2b^{-2})^{-3}(a^3)^{-2} ?
The solution to (a^2b^{-2})^{-3}(a^3)^{-2} is (b^6)/(a^{12)}