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Popular >

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

Solution

simplify

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

Solution

x^{5} y^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

= x^{5} y^{5}

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Frequently Asked Questions (FAQ)

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