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Popular >

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

Solution

simplify

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

Solution

4 x^{5} y^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

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

Add the numbers:

2 + 3 = 5

= 2^{2} x^{5} y^{2}

2^{2} = 4

= 4 x^{5} y^{2}

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Frequently Asked Questions (FAQ)

What is (2x^2)(2x^3y^2) ?
The solution to (2x^2)(2x^3y^2) is 4x^5y^2