What is (3x^3y^4*6xy^{-5})/((3xy)^2) ?

The solution to (3x^3y^4*6xy^{-5})/((3xy)^2) is (2x^2)/(y^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x^3y^4*6xy^{-5})/((3xy)^2)

simplify

\frac{3 x ^{3} y ^{4} \cdot 6 x y ^{- 5}}{( 3 x y ) ^{2}}

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

Solution steps

\frac{3 x ^{3} y ^{4} \cdot 6 x y ^{- 5}}{( 3 x y ) ^{2}}

Apply exponent rule:

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

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

= \frac{3 x ^{3} y ^{4} \cdot 6 x y ^{- 5}}{3 ^{2} x ^{2} y ^{2}}

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

= \frac{x ^{3} y ^{4} \cdot 6 x y ^{- 5}}{3 x ^{2} y ^{2}}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

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

Simplify

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

= \frac{x y ^{4} \cdot 2 x y ^{- 5}}{y ^{2}}

Simplify

\frac{y ^{4}}{y ^{2}} : y^{2}

= x y^{2} \cdot 2 x y^{- 5}

Simplify

x y^{2} \cdot 2 x y^{- 5} : \frac{2 x ^{2}}{y ^{3}}

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

6 x - 5 = 8 x + 2

\frac{5 x - 2}{5} < \frac{2 - 7 x}{- 3}

b^{2} - 9 b + 14

25 6^{- \frac{1}{4}}

3^{6}

What is (3x^3y^4*6xy^{-5})/((3xy)^2) ?
The solution to (3x^3y^4*6xy^{-5})/((3xy)^2) is (2x^2)/(y^3)