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Popular >

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

Solution

simplify

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

Solution

4 x^{6} y^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{3} x^{3} = x^{3 + 3}

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

Add the numbers:

3 + 3 = 6

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

Apply exponent rule:

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

yy = y^{1 + 1}

= 2^{2} x^{6} y^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2^{2} x^{6} y^{2}

2^{2} = 4

= 4 x^{6} y^{2}

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Frequently Asked Questions (FAQ)

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