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Popular >

simplify (10x^2y^5)^3

Solution

simplify

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

Solution

1000 x^{6} y^{15}

Solution steps

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

Apply exponent rule:

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

(10 x^{2} y^{5})^{3} = 1 0^{3} (x^{2})^{3} (y^{5})^{3}

= 1 0^{3} (x^{2})^{3} (y^{5})^{3}

1 0^{3} = 1000

= 1000 (x^{2})^{3} (y^{5})^{3}

Simplify

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

= 1000 x^{6} (y^{5})^{3}

Simplify

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

= 1000 x^{6} y^{15}

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Frequently Asked Questions (FAQ)

What is (10x^2y^5)^3 ?
The solution to (10x^2y^5)^3 is 1000x^6y^{15}