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Popular >

simplify 2x^2(6y^3)(2x^2y)

Solution

simplify

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

Solution

24 x^{4} y^{4}

Solution steps

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

Apply exponent rule:

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

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

= x^{2} \cdot 6 y^{3} \cdot 2^{1 + 1} x^{2} y

Add the numbers:

1 + 1 = 2

= x^{2} \cdot 6 y^{3} \cdot 2^{2} x^{2} y

Apply exponent rule:

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

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

= 6 y^{3} \cdot 2^{2} x^{2 + 2} y

Add the numbers:

2 + 2 = 4

= 6 y^{3} \cdot 2^{2} x^{4} y

Apply exponent rule:

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

y^{3} y = y^{3 + 1}

= 6 \cdot 2^{2} x^{4} y^{3 + 1}

Add the numbers:

3 + 1 = 4

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

2^{2} = 4

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

Multiply the numbers:

6 \cdot 4 = 24

= 24 x^{4} y^{4}

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Frequently Asked Questions (FAQ)

What is 2x^2(6y^3)(2x^2y) ?
The solution to 2x^2(6y^3)(2x^2y) is 24x^4y^4