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Popular >

simplify (3xy^6)^3(xy)^4

Solution

simplify

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

Solution

27 x^{7} y^{22}

Solution steps

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

Simplify

(3 x y^{6})^{3} : 27 x^{3} y^{18}

= 27 x^{3} y^{18} (x y)^{4}

Apply exponent rule:

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

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

= 27 x^{3} y^{18} x^{4} y^{4}

Simplify

x^{3} x^{4} : x^{7}

= 27 x^{7} y^{18} y^{4}

Simplify

y^{18} y^{4} : y^{22}

= 27 x^{7} y^{22}

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Frequently Asked Questions (FAQ)

What is (3xy^6)^3(xy)^4 ?
The solution to (3xy^6)^3(xy)^4 is 27x^7y^{22}