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Popular >

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

Solution

simplify

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

Solution

2 x^{5} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

= 2 x^{5} y^{1 + 3}

Add the numbers:

1 + 3 = 4

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

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Frequently Asked Questions (FAQ)

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