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Popular >

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

Solution

simplify

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

Solution

x^{3} y^{12}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

= y^{4} x^{3} y^{8}

Apply exponent rule:

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

y^{4} y^{8} = y^{4 + 8}

= x^{3} y^{4 + 8}

Add the numbers:

4 + 8 = 12

= x^{3} y^{12}

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Frequently Asked Questions (FAQ)

What is (x^2y^4)(xy^8) ?
The solution to (x^2y^4)(xy^8) is x^3y^{12}