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Popular >

simplify (5xy^2z^3)^3

Solution

simplify

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

Solution

125 x^{3} y^{6} z^{9}

Solution steps

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

Apply exponent rule:

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

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

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

5^{3} = 125

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

Simplify

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

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

Simplify

(z^{3})^{3} : z^{9}

= 125 x^{3} y^{6} z^{9}

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Frequently Asked Questions (FAQ)

What is (5xy^2z^3)^3 ?
The solution to (5xy^2z^3)^3 is 125x^3y^6z^9