Solve the product power (a^(-1)b^(-1)c^(-1))^2

 Exercise

$\left(a^{-1}b^{-1}c^{-1}\right)^2$

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The power of a product is equal to the product of it's factors raised to the same power

$a^{-2}b^{-2}c^{-2}$

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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{1}{a^{2}}\frac{1}{b^{2}}\frac{1}{c^{2}}$

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Multiplying fractions $\frac{1}{a^{2}} \times \frac{1}{b^{2}}$

$\frac{1}{a^{2}b^{2}}\frac{1}{c^{2}}$

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Multiplying fractions $\frac{1}{a^{2}b^{2}} \times \frac{1}{c^{2}}$

$\frac{1}{a^{2}b^{2}c^{2}}$

$\frac{1}{a^{2}b^{2}c^{2}}$

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