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Popular >

simplify (3e^x)^2

Solution

simplify

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

Solution

9 e^{2 x}

Solution steps

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

Apply exponent rule:

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

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

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

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

3^{2} = 9

= 9 e^{2 x}

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Frequently Asked Questions (FAQ)

What is (3e^x)^2 ?
The solution to (3e^x)^2 is 9e^{2x}