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Popular >

simplify (x^2y^4)(xy^7)

Solution

simplify

(x^{2} y^{4}) (x y^{7})

Solution

x^{3} y^{11}

Solution steps

(x^{2} y^{4}) (x y^{7})

Apply exponent rule:

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

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

= y^{4} x^{2 + 1} y^{7}

Add the numbers:

2 + 1 = 3

= y^{4} x^{3} y^{7}

Apply exponent rule:

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

y^{4} y^{7} = y^{4 + 7}

= x^{3} y^{4 + 7}

Add the numbers:

4 + 7 = 11

= x^{3} y^{11}

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Frequently Asked Questions (FAQ)

What is (x^2y^4)(xy^7) ?
The solution to (x^2y^4)(xy^7) is x^3y^{11}