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Popular >

simplify (2xy^3)^4

Solution

simplify

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

Solution

16 x^{4} y^{12}

Solution steps

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

Apply exponent rule:

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

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

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

2^{4} = 16

= 16 x^{4} (y^{3})^{4}

Simplify

(y^{3})^{4} : y^{12}

= 16 x^{4} y^{12}

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Frequently Asked Questions (FAQ)

What is (2xy^3)^4 ?
The solution to (2xy^3)^4 is 16x^4y^{12}