en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (xy^{-6})(xy)^3

Solution

simplify

(x y^{- 6}) (x y)^{3}

Solution

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

Solution steps

(x y^{- 6}) (x y)^{3}

Simplify

x y^{- 6} : \frac{x}{y ^{6}}

= \frac{x}{y ^{6}} (x y)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x y)^{3} = x^{3} y^{3}

= \frac{x}{y ^{6}} x^{3} y^{3}

Apply the fraction rule:

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

= \frac{x x ^{3} y ^{3}}{y ^{6}}

Simplify

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

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

Simplify

x x^{3} : x^{4}

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

Popular Examples

(x-4)^2=(x+4)^2+32

(x - 4)^{2} = (x + 4)^{2} + 32

simplify (x^2)^{-1/2}simplify

(x^{2})^{- \frac{1}{2}}

factor v^2-2vf+f^2 factor

v^{2} - 2 v f + f^{2}

factor 8k^2-2k-3 factor

8 k^{2} - 2 k - 3

(4x-1)^2-(x-2)^2=9

(4 x - 1)^{2} - (x - 2)^{2} = 9

Frequently Asked Questions (FAQ)

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