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Popular >

simplify (9x^3y^2)^5

Solution

simplify

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

Solution

59049 x^{15} y^{10}

Solution steps

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

Apply exponent rule:

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

(9 x^{3} y^{2})^{5} = 9^{5} (x^{3})^{5} (y^{2})^{5}

= 9^{5} (x^{3})^{5} (y^{2})^{5}

9^{5} = 59049

= 59049 (x^{3})^{5} (y^{2})^{5}

Simplify

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

= 59049 x^{15} (y^{2})^{5}

Simplify

(y^{2})^{5} : y^{10}

= 59049 x^{15} y^{10}

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Frequently Asked Questions (FAQ)

What is (9x^3y^2)^5 ?
The solution to (9x^3y^2)^5 is 59049x^{15}y^{10}