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Popular >

simplify (xy)(x^8y^2)

Solution

simplify

(x y) (x^{8} y^{2})

Solution

x^{9} y^{3}

Solution steps

(x y) (x^{8} y^{2})

Apply exponent rule:

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

x x^{8} = x^{1 + 8}

= y x^{1 + 8} y^{2}

Add the numbers:

1 + 8 = 9

= y x^{9} y^{2}

Apply exponent rule:

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

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

= x^{9} y^{1 + 2}

Add the numbers:

1 + 2 = 3

= x^{9} y^{3}

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Frequently Asked Questions (FAQ)

What is (xy)(x^8y^2) ?
The solution to (xy)(x^8y^2) is x^9y^3