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Popular >

simplify (5x^6y^2)^3

Solution

simplify

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

Solution

125 x^{18} y^{6}

Solution steps

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

Apply exponent rule:

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

(5 x^{6} y^{2})^{3} = 5^{3} (x^{6})^{3} (y^{2})^{3}

= 5^{3} (x^{6})^{3} (y^{2})^{3}

5^{3} = 125

= 125 (x^{6})^{3} (y^{2})^{3}

Simplify

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

= 125 x^{18} (y^{2})^{3}

Simplify

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

= 125 x^{18} y^{6}

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Frequently Asked Questions (FAQ)

What is (5x^6y^2)^3 ?
The solution to (5x^6y^2)^3 is 125x^{18}y^6