What is (yx^{-3})^3*y^4x^2 ?

The solution to (yx^{-3})^3*y^4x^2 is (y^7)/(x^7)

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simplify (yx^{-3})^3*y^4x^2

simplify

(y x^{- 3})^{3} \cdot y^{4} x^{2}

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

Solution steps

(y x^{- 3})^{3} y^{4} x^{2}

Simplify

(y x^{- 3})^{3} : \frac{y ^{3}}{x ^{9}}

= \frac{y ^{3}}{x ^{9}} y^{4} x^{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{y ^{3} y ^{4} x ^{2}}{x ^{9}}

Simplify

\frac{x ^{2}}{x ^{9}} : \frac{1}{x ^{7}}

= \frac{y ^{3} y ^{4}}{x ^{7}}

Simplify

y^{3} y^{4} : y^{7}

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

(3 - i) (2 + 4 i)

- 12 m^{3} + 38 m^{2} - 30 m

- \frac{3}{4} - 3

\frac{- 2 + 3 i}{- 2 - 3 i}

(3 a^{2} - a + 4)^{2}