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Popular >

simplify (xy^3)(xy)^4

Solution

simplify

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

Solution

x^{5} y^{7}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

x x^{4} : x^{5}

= x^{5} y^{3} y^{4}

Simplify

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

= x^{5} y^{7}

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Frequently Asked Questions (FAQ)

What is (xy^3)(xy)^4 ?
The solution to (xy^3)(xy)^4 is x^5y^7