Calculate (2×11)^5: Evaluating Powers of Products

To solve the expression $\left(2\times11\right)^5$, we can apply the rule for the power of a product, which states that$\left(a \times b\right)^n = a^n \times b^n$.

In this case, our expression is $\left(2\times11\right)^5$, where$a = 2$ and $b = 11$, and $n = 5$.

Applying the power of a product rule gives us:

• $a^n = 2^5$

• $b^n = 11^5$

Therefore, $\left(2\times11\right)^5 = 2^5 \times 11^5$.