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Popular >

simplify (-2xy^2)^2

Solution

simplify

(- 2 x y^{2})^{2}

Solution

4 x^{2} y^{4}

Solution steps

(- 2 x y^{2})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 2 x y^{2})^{2} = (2 x y^{2})^{2}

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

Apply exponent rule:

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

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

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

2^{2} = 4

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

Simplify

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

= 4 x^{2} y^{4}

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Frequently Asked Questions (FAQ)

What is (-2xy^2)^2 ?
The solution to (-2xy^2)^2 is 4x^2y^4