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Popular >

simplify (e^x)^2(3e)^y

Solution

simplify

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

Solution

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

Solution steps

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

(e^{x})^{2} : e^{x \cdot 2}

= e^{x \cdot 2} (3 e)^{y}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

Apply exponent rule:

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

e^{x \cdot 2} e^{y} = e^{2 x + y}

= 3^{y} e^{x \cdot 2 + y}

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Frequently Asked Questions (FAQ)

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