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Popular >

simplify 2(3xy^2)(2xy^2)

Solution

simplify

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

Solution

12 x^{2} y^{4}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

2^{2} = 4

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

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{2} y^{4}

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Frequently Asked Questions (FAQ)

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