What is (35y^8x^5)/(-21y^{-1)x^9} ?

The solution to (35y^8x^5)/(-21y^{-1)x^9} is -(5y^9)/(3x^4)

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simplify (35y^8x^5)/(-21y^{-1)x^9}

simplify

\frac{35 y ^{8} x ^{5}}{- 21 y ^{- 1} x ^{9}}

- \frac{5 y ^{9}}{3 x ^{4}}

Solution steps

\frac{35 y ^{8} x ^{5}}{- 21 y ^{- 1} x ^{9}}

Factor the number:

35 = 7 \cdot 5

= \frac{7 \cdot 5 y ^{8} x ^{5}}{- 21 y ^{- 1} x ^{9}}

Factor the number:

21 = 7 \cdot 3

= \frac{7 \cdot 5 y ^{8} x ^{5}}{- 7 \cdot 3 y ^{- 1} x ^{9}}

Cancel the common factor:

7

= \frac{5 y ^{8} x ^{5}}{- 3 y ^{- 1} x ^{9}}

Simplify

\frac{y ^{8}}{y ^{- 1}} : y^{9}

= \frac{5 y ^{9} x ^{5}}{- 3 x ^{9}}

Simplify

\frac{x ^{5}}{x ^{9}} : \frac{1}{x ^{4}}

= \frac{5 y ^{9}}{- 3 x ^{4}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{5 y ^{9}}{3 x ^{4}}

f (y) = y^{2} - 2

x - 3 = - 7

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

4 x + 2 \geq 14

\frac{6}{5} - \frac{6}{5}

What is (35y^8x^5)/(-21y^{-1)x^9} ?
The solution to (35y^8x^5)/(-21y^{-1)x^9} is -(5y^9)/(3x^4)