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Popular >

simplify (-6x^2y^3)^3

Solution

simplify

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

Solution

- 216 x^{6} y^{9}

Solution steps

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

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 6 x^{2} y^{3})^{3} = - (6 x^{2} y^{3})^{3}

= - (6 x^{2} y^{3})^{3}

Apply exponent rule:

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

(6 x^{2} y^{3})^{3} = 6^{3} (x^{2})^{3} (y^{3})^{3}

= - 6^{3} (x^{2})^{3} (y^{3})^{3}

6^{3} = 216

= - 216 (x^{2})^{3} (y^{3})^{3}

Simplify

(x^{2})^{3} : x^{6}

= - 216 x^{6} (y^{3})^{3}

Simplify

(y^{3})^{3} : y^{9}

= - 216 x^{6} y^{9}

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Frequently Asked Questions (FAQ)

What is (-6x^2y^3)^3 ?
The solution to (-6x^2y^3)^3 is -216x^6y^9