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Popular >

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

Solution

simplify

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

Solution

6 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 3 \cdot 2 x^{3} y^{5}

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{3} y^{5}

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Frequently Asked Questions (FAQ)

What is (3xy^2)(2x^2y^3) ?
The solution to (3xy^2)(2x^2y^3) is 6x^3y^5