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Popular >

simplify (x^2yz)^3(xy)^4

Solution

simplify

(x^{2} yz)^{3} (x y)^{4}

Solution

x^{10} y^{7} z^{3}

Solution steps

(x^{2} yz)^{3} (x y)^{4}

Simplify

(x^{2} yz)^{3} : x^{6} y^{3} z^{3}

= x^{6} y^{3} z^{3} (x y)^{4}

Apply exponent rule:

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

(x y)^{4} = x^{4} y^{4}

= x^{6} y^{3} z^{3} x^{4} y^{4}

Simplify

x^{6} x^{4} : x^{10}

= x^{10} y^{3} z^{3} y^{4}

Simplify

y^{3} y^{4} : y^{7}

= x^{10} y^{7} z^{3}

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Frequently Asked Questions (FAQ)

What is (x^2yz)^3(xy)^4 ?
The solution to (x^2yz)^3(xy)^4 is x^{10}y^7z^3