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Popular >

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

Solution

simplify

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

Solution

27 x^{6} y^{15}

Solution steps

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

Apply exponent rule:

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

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

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

3^{3} = 27

= 27 (x^{2})^{3} (y^{5})^{3}

Simplify

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

= 27 x^{6} (y^{5})^{3}

Simplify

(y^{5})^{3} : y^{15}

= 27 x^{6} y^{15}

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Frequently Asked Questions (FAQ)

What is (3x^2y^5)^3 ?
The solution to (3x^2y^5)^3 is 27x^6y^{15}