What is (3x^2y^{-3})/(12x^6y^3) ?

The solution to (3x^2y^{-3})/(12x^6y^3) is 1/(4x^4y^6)

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simplify (3x^2y^{-3})/(12x^6y^3)

simplify

\frac{3 x ^{2} y ^{- 3}}{12 x ^{6} y ^{3}}

\frac{1}{4 x ^{4} y ^{6}}

Solution steps

\frac{3 x ^{2} y ^{- 3}}{12 x ^{6} y ^{3}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 x ^{2} y ^{- 3}}{3 \cdot 4 x ^{6} y ^{3}}

Cancel the common factor:

3

= \frac{x ^{2} y ^{- 3}}{4 x ^{6} y ^{3}}

Simplify

\frac{x ^{2}}{x ^{6}} : \frac{1}{x ^{4}}

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

Simplify

\frac{y ^{- 3}}{y ^{3}} : \frac{1}{y ^{6}}

= \frac{1}{4 x ^{4} y ^{6}}

(- 2 - i) (4 + i)

8242

(x - y)^{4} - 25 (x - y)^{2}

x^{4} - 5 x^{2} + 10 x - 6

7 (1 + 5 n) + 6 (1 + 4 n) = 13

What is (3x^2y^{-3})/(12x^6y^3) ?
The solution to (3x^2y^{-3})/(12x^6y^3) is 1/(4x^4y^6)