What is (15x^{-5}y^7)/(3x^2y^{-8)} ?

The solution to (15x^{-5}y^7)/(3x^2y^{-8)} is (5y^{15})/(x^7)

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simplify (15x^{-5}y^7)/(3x^2y^{-8)}

simplify

\frac{15 x ^{- 5} y ^{7}}{3 x ^{2} y ^{- 8}}

\frac{5 y ^{15}}{x ^{7}}

Solution steps

\frac{15 x ^{- 5} y ^{7}}{3 x ^{2} y ^{- 8}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 x ^{- 5} y ^{7}}{3 x ^{2} y ^{- 8}}

Cancel the common factor:

3

= \frac{5 x ^{- 5} y ^{7}}{x ^{2} y ^{- 8}}

Simplify

\frac{y ^{7}}{y ^{- 8}} : y^{15}

= \frac{5 x ^{- 5} y ^{15}}{x ^{2}}

Simplify

\frac{x ^{- 5}}{x ^{2}} : \frac{1}{x ^{7}}

= \frac{5 y ^{15}}{x ^{7}}

∣ 2 x - 10 ∣ + ∣ x - 3 ∣ = 10

- 5 \cdot \frac{1}{2}

4 s + 4 = 9

10 p - 3 = 2 (12 + 4 p) - 7

\frac{1}{2} (x - \frac{3}{4}) = \frac{5}{12}

What is (15x^{-5}y^7)/(3x^2y^{-8)} ?
The solution to (15x^{-5}y^7)/(3x^2y^{-8)} is (5y^{15})/(x^7)