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Popular >

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

Solution

simplify

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

Solution

9 x^{4} y^{6}

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

3^{2} = 9

= 9 (x^{2})^{2} (y^{3})^{2}

Simplify

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

= 9 x^{4} (y^{3})^{2}

Simplify

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

= 9 x^{4} y^{6}

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Frequently Asked Questions (FAQ)

What is (-3x^2y^3)^2 ?
The solution to (-3x^2y^3)^2 is 9x^4y^6