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Useful property: \((xy)^n = (x^n)(y^n)\)

Given: \((8)(72)^{-5}\)

Rewrite 72 as (8)(9) to get: \((8^1)(8^{-5})(9^{-5})\)

Simplify: \((8^{-4})(9^{-5})\)

Rewrite \(9^{-5}\) as follows: \((8^{-4})(9^{-4})(9^{-1})\)

Combine first two expressions: \((72^{-4})(9^{-1})\)

Rewrite \(9^{-1}\) as fraction to get: \((72^{-4})(\frac{1}{9})\)

Simplify: \(\frac{72^{-4}}{9}\)

Answer: C

Cheers,
Brent

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