Final answer to the problem
Step-by-step Solution
Specify the solving method
When multiplying two powers that have the same base ($e^{\sin\left(x\right)}$), you can add the exponents
Simplify $\left(e^{\sin\left(x\right)}\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\sin\left(x\right)$ and $n$ equals $2$