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Popular >

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

Solution

simplify

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

Solution

25 x^{4} y^{10}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

5^{2} = 25

= 25 (x^{2})^{2} (y^{5})^{2}

Simplify

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

= 25 x^{4} (y^{5})^{2}

Simplify

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

= 25 x^{4} y^{10}

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Frequently Asked Questions (FAQ)

What is (-5x^2y^5)^2 ?
The solution to (-5x^2y^5)^2 is 25x^4y^{10}