What is ((-3x^2y^0)/(5a^5b^3))^3 ?

The solution to ((-3x^2y^0)/(5a^5b^3))^3 is -(27x^6)/(125a^{15)b^9}

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simplify ((-3x^2y^0)/(5a^5b^3))^3

simplify

(\frac{- 3 x ^{2} y ^{0}}{5 a ^{5} b ^{3}})^{3}

- \frac{27 x ^{6}}{125 a ^{15} b ^{9}}

Solution steps

(\frac{- 3 x ^{2} y ^{0}}{5 a ^{5} b ^{3}})^{3}

Apply exponent rule:

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

= \frac{( - 3 x ^{2} y ^{0} ) ^{3}}{( 5 a ^{5} b ^{3} ) ^{3}}

Simplify

(- 3 x^{2} y^{0})^{3} : - 27 x^{6}

= \frac{- 27 x ^{6}}{( 5 a ^{5} b ^{3} ) ^{3}}

Simplify

(5 a^{5} b^{3})^{3} : 125 a^{15} b^{9}

= \frac{- 27 x ^{6}}{125 a ^{15} b ^{9}}

Apply the fraction rule:

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

= - \frac{27 x ^{6}}{125 a ^{15} b ^{9}}

18 x^{3} + 9 x^{2} - 2 x - 1

\frac{1}{2} ∣ x ∣ \geq 1

2 b + 8 - 5 b + 3 = - 13 + 8 b - 5

y^{2} - 11 y = 0

x^{2 n} + x^{n + 2}

What is ((-3x^2y^0)/(5a^5b^3))^3 ?
The solution to ((-3x^2y^0)/(5a^5b^3))^3 is -(27x^6)/(125a^{15)b^9}