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Popular >

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

Solution

simplify

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

Solution

12 x^{2} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

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

2^{2} = 4

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

Multiply the numbers:

4 \cdot 3 = 12

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

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Frequently Asked Questions (FAQ)

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