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Popular >

simplify (-3x^4y^6)^3

Solution

simplify

(- 3 x^{4} y^{6})^{3}

Solution

- 27 x^{12} y^{18}

Solution steps

(- 3 x^{4} y^{6})^{3}

Apply exponent rule:

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

if

n

is odd

(- 3 x^{4} y^{6})^{3} = - (3 x^{4} y^{6})^{3}

= - (3 x^{4} y^{6})^{3}

Apply exponent rule:

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

(3 x^{4} y^{6})^{3} = 3^{3} (x^{4})^{3} (y^{6})^{3}

= - 3^{3} (x^{4})^{3} (y^{6})^{3}

3^{3} = 27

= - 27 (x^{4})^{3} (y^{6})^{3}

Simplify

(x^{4})^{3} : x^{12}

= - 27 x^{12} (y^{6})^{3}

Simplify

(y^{6})^{3} : y^{18}

= - 27 x^{12} y^{18}

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Frequently Asked Questions (FAQ)

What is (-3x^4y^6)^3 ?
The solution to (-3x^4y^6)^3 is -27x^{12}y^{18}