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Popular >

simplify (5x^3y^2)(xy^2)

Solution

simplify

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

Solution

5 x^{4} y^{4}

Solution steps

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

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

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

Add the numbers:

3 + 1 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

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Frequently Asked Questions (FAQ)

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