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Popular >

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

Solution

simplify

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

Solution

x^{3} y^{7}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

5 + 2 = 7

= x^{3} y^{7}

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Frequently Asked Questions (FAQ)

What is (x^2y^5)(xy^2) ?
The solution to (x^2y^5)(xy^2) is x^3y^7