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Popular >

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

Solution

simplify

2 (3 x^{3} \cdot y^{2})^{2}

Solution

18 x^{6} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

3^{2} = 9

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

Simplify

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

= 2 \cdot 9 x^{6} (y^{2})^{2}

Simplify

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

= 2 \cdot 9 x^{6} y^{4}

Multiply the numbers:

2 \cdot 9 = 18

= 18 x^{6} y^{4}

Popular Examples

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(\frac{1}{2 \cdot x - 3})^{3}

Frequently Asked Questions (FAQ)

What is 2(3x^3*y^2)^2 ?
The solution to 2(3x^3*y^2)^2 is 18x^6y^4