What is simplify-2x^{-2}y^4*(-x^5y^{-3})^{-5} ?

The solution to simplify-2x^{-2}y^4*(-x^5y^{-3})^{-5} is (2y^{19})/(x^{27)}

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simplify-2x^{-2}y^4*(-x^5y^{-3})^{-5}

simplify

- 2 x^{- 2} y^{4} \cdot (- x^{5} y^{- 3})^{- 5}

\frac{2 y ^{19}}{x ^{27}}

Solution steps

- 2 x^{- 2} y^{4} (- x^{5} y^{- 3})^{- 5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 2} = \frac{1}{x ^{2}}

= - 2 \cdot \frac{1}{x ^{2}} y^{4} (- x^{5} y^{- 3})^{- 5}

Simplify

(- x^{5} y^{- 3})^{- 5} : - \frac{y ^{15}}{x ^{25}}

= - 2 \cdot \frac{1}{x ^{2}} y^{4} (- \frac{y ^{15}}{x ^{25}})

Apply rule:

- a (- b) = ab

- 2 \cdot \frac{1}{x ^{2}} y^{4} (- \frac{y ^{15}}{x ^{25}}) = 2 \cdot \frac{1}{x ^{2}} y^{4} \frac{y ^{15}}{x ^{25}}

= 2 \cdot \frac{1}{x ^{2}} y^{4} \frac{y ^{15}}{x ^{25}}

Apply the fraction rule:

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

= \frac{2 \cdot 1 \cdot y ^{4} y ^{15}}{x ^{2} x ^{25}}

Simplify

2 \cdot 1 \cdot y^{4} y^{15} : 2 y^{19}

= \frac{2 y ^{19}}{x ^{2} x ^{25}}

Simplify

x^{2} x^{25} : x^{27}

= \frac{2 y ^{19}}{x ^{27}}

\frac{t - 3}{t ^{2} + 9} \cdot \frac{t + 3}{t ^{2} - 9}

\frac{a ^{3} b ^{5}}{a ^{4} b}

(- 3 x^{2} + 4 x) + (2 x^{2} - x - 11)

(5 + 3)^{2} + (5 - 3)^{2}

cot (θ) + tan (θ)

What is simplify-2x^{-2}y^4*(-x^5y^{-3})^{-5} ?
The solution to simplify-2x^{-2}y^4*(-x^5y^{-3})^{-5} is (2y^{19})/(x^{27)}