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Popular >

simplify (x^4y^2)(xy^8)

Solution

simplify

(x^{4} y^{2}) (x y^{8})

Solution

x^{5} y^{10}

Solution steps

(x^{4} y^{2}) (x y^{8})

Apply exponent rule:

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

x^{4} x = x^{4 + 1}

= y^{2} x^{4 + 1} y^{8}

Add the numbers:

4 + 1 = 5

= y^{2} x^{5} y^{8}

Apply exponent rule:

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

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

= x^{5} y^{2 + 8}

Add the numbers:

2 + 8 = 10

= x^{5} y^{10}

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Frequently Asked Questions (FAQ)

What is (x^4y^2)(xy^8) ?
The solution to (x^4y^2)(xy^8) is x^5y^{10}