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Popular >

simplify ((-4y)^3)/(4y^{-8)}

Solution

simplify

\frac{( - 4 y ) ^{3}}{4 y ^{- 8}}

Solution

- 16 y^{11}

Solution steps

\frac{( - 4 y ) ^{3}}{4 y ^{- 8}}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

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

= \frac{- ( 4 y ) ^{3}}{4 y ^{- 8}}

Apply exponent rule:

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

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

= \frac{- 4 ^{3} y ^{3}}{4 y ^{- 8}}

\frac{4 ^{3}}{4} = 4^{2}

= \frac{- 4 ^{2} y ^{3}}{y ^{- 8}}

Simplify

\frac{y ^{3}}{y ^{- 8}} : y^{11}

= - 4^{2} y^{11}

4^{2} = 16

= - 16 y^{11}

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Frequently Asked Questions (FAQ)

What is ((-4y)^3)/(4y^{-8)} ?
The solution to ((-4y)^3)/(4y^{-8)} is -16y^{11}