What is ((3y^{-4})^2)/(15y^{-3)} ?

The solution to ((3y^{-4})^2)/(15y^{-3)} is 3/(5y^5)

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simplify ((3y^{-4})^2)/(15y^{-3)}

simplify

\frac{( 3 y ^{- 4} ) ^{2}}{15 y ^{- 3}}

\frac{3}{5 y ^{5}}

Solution steps

\frac{( 3 y ^{- 4} ) ^{2}}{15 y ^{- 3}}

Simplify

(3 y^{- 4})^{2} : 3^{2} \cdot \frac{1}{y ^{8}}

= \frac{3 ^{2} \cdot \frac{1}{y ^{8}}}{15 y ^{- 3}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 ^{2} \cdot \frac{1}{y ^{8}}}{3 \cdot 5 y ^{- 3}}

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

= \frac{3 \cdot \frac{1}{y ^{8}}}{5 y ^{- 3}}

Simplify

\frac{3 \cdot \frac{1}{y ^{8}}}{5 y ^{- 3}} : \frac{3}{y ^{5} \cdot 5}

= \frac{3}{y ^{5} \cdot 5}

= \frac{3}{5 y ^{5}}

x + 3 \cdot x + 3

6 \cdot 3 \cdot 4

\frac{x}{3} + 1

\frac{x}{3} - x

\frac{7}{8} + \frac{5}{12}

What is ((3y^{-4})^2)/(15y^{-3)} ?
The solution to ((3y^{-4})^2)/(15y^{-3)} is 3/(5y^5)