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Popular >

simplify (8x^2y^6)(xy^4)

Solution

simplify

(8 x^{2} y^{6}) (x y^{4})

Solution

8 x^{3} y^{10}

Solution steps

(8 x^{2} y^{6}) (x y^{4})

Apply exponent rule:

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

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

= 8 y^{6} x^{2 + 1} y^{4}

Add the numbers:

2 + 1 = 3

= 8 y^{6} x^{3} y^{4}

Apply exponent rule:

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

y^{6} y^{4} = y^{6 + 4}

= 8 x^{3} y^{6 + 4}

Add the numbers:

6 + 4 = 10

= 8 x^{3} y^{10}

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Frequently Asked Questions (FAQ)

What is (8x^2y^6)(xy^4) ?
The solution to (8x^2y^6)(xy^4) is 8x^3y^{10}