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Popular >

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

Solution

simplify

(x^{2} \cdot y^{2} \cdot z^{2})^{5}

Solution

x^{10} y^{10} z^{10}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

= x^{10} (y^{2})^{5} (z^{2})^{5}

Simplify

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

= x^{10} y^{10} (z^{2})^{5}

Simplify

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

= x^{10} y^{10} z^{10}

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Frequently Asked Questions (FAQ)

What is (x^2*y^2*z^2)^5 ?
The solution to (x^2*y^2*z^2)^5 is x^{10}y^{10}z^{10}