Question

Which expression is equivalent to (7⁢e^3⁢x)^2?

Multiple choice question.

A)
49⁢e^9⁢x^2


B)
49⁢e^6⁢x


C)
7e𝑒^6⁢x


D)
7⁢e^3⁢x^2

Answer 1

Use (ab c)^2 = a^2 b^2 c^2. Squaring gives

(7 e^3 x)^2 = 7^2 (e^3)^2 x^2 = 49 e^6 x^2.

So the correct simplified form is 49 e^6 x^2. (None of the provided choices exactly match that; if the original meant (7 e^{3x})^2 then the result would be 49 e^{6x}, which corresponds to choice B if written as 49 e^{6x}.)