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Popular >

simplify (3x^2y^4)(xy^3)

Solution

simplify

(3 x^{2} y^{4}) (x y^{3})

Solution

3 x^{3} y^{7}

Solution steps

(3 x^{2} y^{4}) (x y^{3})

Apply exponent rule:

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

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

= 3 y^{4} x^{2 + 1} y^{3}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 3 = 7

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

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Frequently Asked Questions (FAQ)

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