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Popular >

simplify (x^3y)(3x^5y)

Solution

simplify

(x^{3} y) (3 x^{5} y)

Solution

3 x^{8} y^{2}

Solution steps

(x^{3} y) (3 x^{5} y)

Apply exponent rule:

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

x^{3} x^{5} = x^{3 + 5}

= y \cdot 3 x^{3 + 5} y

Add the numbers:

3 + 5 = 8

= y \cdot 3 x^{8} y

Apply exponent rule:

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

yy = y^{1 + 1}

= 3 x^{8} y^{1 + 1}

Add the numbers:

1 + 1 = 2

= 3 x^{8} y^{2}

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Frequently Asked Questions (FAQ)

What is (x^3y)(3x^5y) ?
The solution to (x^3y)(3x^5y) is 3x^8y^2