What is (3(y^{-4})^4)/(12y^{-6)} ?

The solution to (3(y^{-4})^4)/(12y^{-6)} is 1/(4y^{10)}

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simplify (3(y^{-4})^4)/(12y^{-6)}

simplify

\frac{3 ( y ^{- 4} ) ^{4}}{12 y ^{- 6}}

\frac{1}{4 y ^{10}}

Solution steps

\frac{3 ( y ^{- 4} ) ^{4}}{12 y ^{- 6}}

Simplify

(y^{- 4})^{4} : \frac{1}{y ^{16}}

= \frac{3 \cdot \frac{1}{y ^{16}}}{12 y ^{- 6}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot \frac{1}{y ^{16}}}{3 \cdot 4 y ^{- 6}}

Cancel the common factor:

3

= \frac{\frac{1}{y ^{16}}}{4 y ^{- 6}}

Simplify

\frac{\frac{1}{y ^{16}}}{4 y ^{- 6}} : \frac{1}{y ^{10} \cdot 4}

= \frac{1}{y ^{10} \cdot 4}

= \frac{1}{4 y ^{10}}

(3 x + 7)^{3}

\frac{- 81}{- 9}

- 0. 1^{2}

\frac{27}{63}

\frac{27}{60}

What is (3(y^{-4})^4)/(12y^{-6)} ?
The solution to (3(y^{-4})^4)/(12y^{-6)} is 1/(4y^{10)}