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Popular >

simplify (-5xy^2)^2

Solution

simplify

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

Solution

25 x^{2} y^{4}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

5^{2} = 25

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

Simplify

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

= 25 x^{2} y^{4}

Popular Examples

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\frac{y ^{\frac{5}{13}}}{y ^{\frac{5}{26}}}

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\frac{6 - x}{4} < \frac{3 x - 4}{2}

r^{2} + 6 r + 4 = 0

simplify 6/(2^2)simplify

\frac{6}{2 ^{2}}

Frequently Asked Questions (FAQ)

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