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Popular >

simplify (2x^3y^2)^4

Solution

simplify

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

Solution

16 x^{12} y^{8}

Solution steps

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

Apply exponent rule:

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

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

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

2^{4} = 16

= 16 (x^{3})^{4} (y^{2})^{4}

Simplify

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

= 16 x^{12} (y^{2})^{4}

Simplify

(y^{2})^{4} : y^{8}

= 16 x^{12} y^{8}

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Frequently Asked Questions (FAQ)

What is (2x^3y^2)^4 ?
The solution to (2x^3y^2)^4 is 16x^{12}y^8