What is ((-2x^6y)/(3z^5))^3 ?

The solution to ((-2x^6y)/(3z^5))^3 is -(8x^{18}y^3)/(27z^{15)}

Popular >

simplify ((-2x^6y)/(3z^5))^3

simplify

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

- \frac{8 x ^{18} y ^{3}}{27 z ^{15}}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 2 x ^{6} y ) ^{3}}{( 3 z ^{5} ) ^{3}}

Simplify

(- 2 x^{6} y)^{3} : - 8 x^{18} y^{3}

= \frac{- 8 x ^{18} y ^{3}}{( 3 z ^{5} ) ^{3}}

Simplify

(3 z^{5})^{3} : 27 z^{15}

= \frac{- 8 x ^{18} y ^{3}}{27 z ^{15}}

Apply the fraction rule:

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

= - \frac{8 x ^{18} y ^{3}}{27 z ^{15}}

5 ((\frac{x + 8}{5}) - 8)

(- 2) + 1

\frac{x - 9}{x ^{2} - 9} + \frac{x + 9}{x ^{2} + 3 x} + \frac{x + 3}{x ^{2} - 3 x}

15 x^{3} y^{2} + 10 x^{2} y^{3} - 15 x^{2} y^{2} z

(2 x + 2) (x - 1)

What is ((-2x^6y)/(3z^5))^3 ?
The solution to ((-2x^6y)/(3z^5))^3 is -(8x^{18}y^3)/(27z^{15)}