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Popular >

simplify ((3y)^4)/(3y^{-1)}

Solution

simplify

\frac{( 3 y ) ^{4}}{3 y ^{- 1}}

Solution

27 y^{5}

Solution steps

\frac{( 3 y ) ^{4}}{3 y ^{- 1}}

Apply exponent rule:

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

(3 y)^{4} = 3^{4} y^{4}

= \frac{3 ^{4} y ^{4}}{3 y ^{- 1}}

\frac{3 ^{4}}{3} = 3^{3}

= \frac{3 ^{3} y ^{4}}{y ^{- 1}}

Simplify

\frac{y ^{4}}{y ^{- 1}} : y^{5}

= 3^{3} y^{5}

3^{3} = 27

= 27 y^{5}

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Frequently Asked Questions (FAQ)

What is ((3y)^4)/(3y^{-1)} ?
The solution to ((3y)^4)/(3y^{-1)} is 27y^5