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Popular >

simplify (-5x^2y^3)^2

Solution

simplify

(- 5 x^{2} y^{3})^{2}

Solution

25 x^{4} y^{6}

Solution steps

(- 5 x^{2} y^{3})^{2}

Apply exponent rule:

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

if

n

is even

(- 5 x^{2} y^{3})^{2} = (5 x^{2} y^{3})^{2}

= (5 x^{2} y^{3})^{2}

Apply exponent rule:

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

(5 x^{2} y^{3})^{2} = 5^{2} (x^{2})^{2} (y^{3})^{2}

= 5^{2} (x^{2})^{2} (y^{3})^{2}

5^{2} = 25

= 25 (x^{2})^{2} (y^{3})^{2}

Simplify

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

= 25 x^{4} (y^{3})^{2}

Simplify

(y^{3})^{2} : y^{6}

= 25 x^{4} y^{6}

Popular Examples

simplify (sqrt(-56))/(sqrt(-7))simplify

\frac{- 56}{- 7}

(3(2x+3))/(13)=2x-7

\frac{3 ( 2 x + 3 )}{13} = 2 x - 7

simplify 1/16+1/16 simplify

\frac{1}{16} + \frac{1}{16}

3 f^{2} - 2 f = 1

36 - 2 n = - 7 (3 n + 3)

Frequently Asked Questions (FAQ)

What is (-5x^2y^3)^2 ?
The solution to (-5x^2y^3)^2 is 25x^4y^6