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Popular >

simplify (3xy^2)x(4xy^2)

Solution

simplify

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

Solution

12 x^{3} y^{4}

Solution steps

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

Apply exponent rule:

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

xxx = x^{1 + 1 + 1}

= 3 y^{2} \cdot 4 x^{1 + 1 + 1} y^{2}

Add the numbers:

1 + 1 + 1 = 3

= 3 y^{2} \cdot 4 x^{3} y^{2}

Apply exponent rule:

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

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

= 3 \cdot 4 x^{3} y^{2 + 2}

Add the numbers:

2 + 2 = 4

= 3 \cdot 4 x^{3} y^{4}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{3} y^{4}

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Frequently Asked Questions (FAQ)

What is (3xy^2)x(4xy^2) ?
The solution to (3xy^2)x(4xy^2) is 12x^3y^4