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Popular >

simplify (-2x*y^2)^4

Solution

simplify

(- 2 x \cdot y^{2})^{4}

Solution

16 x^{4} y^{8}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

2^{4} = 16

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

Simplify

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

= 16 x^{4} y^{8}

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Frequently Asked Questions (FAQ)

What is (-2x*y^2)^4 ?
The solution to (-2x*y^2)^4 is 16x^4y^8