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Popular >

simplify 3(xe^y)(xe^y)

Solution

simplify

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

Solution

3 e^{2 y} x^{2}

Solution steps

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

Apply exponent rule:

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

e^{y} e^{y} = e^{y + y}

= 3 xx e^{y + y}

Add similar elements:

y + y = 2 y

= 3 xx e^{2 y}

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

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Frequently Asked Questions (FAQ)

What is 3(xe^y)(xe^y) ?
The solution to 3(xe^y)(xe^y) is 3e^{2y}x^2