What is (a^3b^5c^{-4})^2 ?

The solution to (a^3b^5c^{-4})^2 is (a^6b^{10})/(c^8)

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simplify (a^3b^5c^{-4})^2

simplify

(a^{3} b^{5} c^{- 4})^{2}

\frac{a ^{6} b ^{10}}{c ^{8}}

Solution steps

(a^{3} b^{5} c^{- 4})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(a^{3} b^{5} c^{- 4})^{2} = (a^{3})^{2} (b^{5})^{2} (c^{- 4})^{2}

= (a^{3})^{2} (b^{5})^{2} (c^{- 4})^{2}

Simplify

(a^{3})^{2} : a^{6}

= a^{6} (b^{5})^{2} (c^{- 4})^{2}

Simplify

(b^{5})^{2} : b^{10}

= a^{6} b^{10} (c^{- 4})^{2}

Simplify

(c^{- 4})^{2} : \frac{1}{c ^{8}}

= a^{6} b^{10} \frac{1}{c ^{8}}

Simplify

a^{6} b^{10} \frac{1}{c ^{8}} : \frac{a ^{6} b ^{10}}{c ^{8}}

= \frac{a ^{6} b ^{10}}{c ^{8}}

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What is (a^3b^5c^{-4})^2 ?
The solution to (a^3b^5c^{-4})^2 is (a^6b^{10})/(c^8)