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Popular >

simplify 9xy^3(3x^2y^2)

Solution

simplify

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

Solution

27 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{2} = x^{1 + 2}

= 9 y^{3} \cdot 3 x^{1 + 2} y^{2}

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{3} y^{2} = y^{3 + 2}

= 9 \cdot 3 x^{3} y^{3 + 2}

Add the numbers:

3 + 2 = 5

= 9 \cdot 3 x^{3} y^{5}

Multiply the numbers:

9 \cdot 3 = 27

= 27 x^{3} y^{5}

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Frequently Asked Questions (FAQ)

What is 9xy^3(3x^2y^2) ?
The solution to 9xy^3(3x^2y^2) is 27x^3y^5