What is (27x^{-2}y^6)/(3x^5y^2) ?

The solution to (27x^{-2}y^6)/(3x^5y^2) is (9y^4)/(x^7)

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simplify (27x^{-2}y^6)/(3x^5y^2)

simplify

\frac{27 x ^{- 2} y ^{6}}{3 x ^{5} y ^{2}}

\frac{9 y ^{4}}{x ^{7}}

Solution steps

\frac{27 x ^{- 2} y ^{6}}{3 x ^{5} y ^{2}}

Factor the number:

27 = 3 \cdot 9

= \frac{3 \cdot 9 x ^{- 2} y ^{6}}{3 x ^{5} y ^{2}}

Cancel the common factor:

3

= \frac{9 x ^{- 2} y ^{6}}{x ^{5} y ^{2}}

Simplify

\frac{y ^{6}}{y ^{2}} : y^{4}

= \frac{9 x ^{- 2} y ^{4}}{x ^{5}}

Simplify

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

= \frac{9 y ^{4}}{x ^{7}}

(2 i)^{3} \cdot (5 i)

3 (- 5 x)^{- \frac{1}{3}}

6 (8 r + 7) + 7

\frac{6}{81}

\frac{( + 2.1 )}{( - 2.8 )}

What is (27x^{-2}y^6)/(3x^5y^2) ?
The solution to (27x^{-2}y^6)/(3x^5y^2) is (9y^4)/(x^7)