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

The solution to (x^2y^3)(x^{-2}y^{-2}) is y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

y

Solution steps

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

Simplify

x^{- 2} y^{- 2} : \frac{1}{x ^{2} y ^{2}}

= x^{2} y^{3} \frac{1}{x ^{2} y ^{2}}

Apply the fraction rule:

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

= \frac{x ^{2} y ^{3} \cdot 1}{x ^{2} y ^{2}}

Apply rule:

a \cdot 1 = a

x^{2} y^{3} \cdot 1 = x^{2} y^{3}

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

Cancel the common factor:

x^{2}

= \frac{y ^{3}}{y ^{2}}

Simplify

\frac{y ^{3}}{y ^{2}} : y

= y

x^{2} 4 x y^{- 2} z^{3}

s (s + 10) (s + 8)

1458

\frac{3 x + 24}{x - 1} \cdot \frac{x ^{2} - 4}{x ^{2} + 6 x - 16}

(2 n^{2} + 5 n + 3) (4 n - 5)