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Popular >

simplify (-4x^5y^2)^2

Solution

simplify

(- 4 x^{5} y^{2})^{2}

Solution

16 x^{10} y^{4}

Solution steps

(- 4 x^{5} y^{2})^{2}

Apply exponent rule:

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

if

n

is even

(- 4 x^{5} y^{2})^{2} = (4 x^{5} y^{2})^{2}

= (4 x^{5} y^{2})^{2}

Apply exponent rule:

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

(4 x^{5} y^{2})^{2} = 4^{2} (x^{5})^{2} (y^{2})^{2}

= 4^{2} (x^{5})^{2} (y^{2})^{2}

4^{2} = 16

= 16 (x^{5})^{2} (y^{2})^{2}

Simplify

(x^{5})^{2} : x^{10}

= 16 x^{10} (y^{2})^{2}

Simplify

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

= 16 x^{10} y^{4}

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Frequently Asked Questions (FAQ)

What is (-4x^5y^2)^2 ?
The solution to (-4x^5y^2)^2 is 16x^{10}y^4