What is ((y^5)^{-2})/((y^3*y^4)^3) ?

The solution to ((y^5)^{-2})/((y^3*y^4)^3) is 1/(y^{31)}

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simplify ((y^5)^{-2})/((y^3*y^4)^3)

simplify

\frac{( y ^{5} ) ^{- 2}}{( y ^{3} \cdot y ^{4} ) ^{3}}

\frac{1}{y ^{31}}

Solution steps

\frac{( y ^{5} ) ^{- 2}}{( y ^{3} y ^{4} ) ^{3}}

Simplify

(y^{5})^{- 2} : \frac{1}{y ^{10}}

= \frac{\frac{1}{y ^{10}}}{( y ^{3} y ^{4} ) ^{3}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{1}{y ^{10} ( y ^{3} y ^{4} ) ^{3}}

Simplify

y^{10} (y^{3} y^{4})^{3} : y^{31}

= \frac{1}{y ^{31}}

\frac{2 x y + 2 y}{9 x} \cdot \frac{3 x y}{2 y ^{2} + 4 x y ^{2}}

\frac{4}{3} - \frac{3}{2}

- 3 (x - 2) (x + 4)

[1 - (x + z)] [1 + (x + z)]

What is ((y^5)^{-2})/((y^3*y^4)^3) ?
The solution to ((y^5)^{-2})/((y^3*y^4)^3) is 1/(y^{31)}