Solve: Product of Powers 20¹¹ × 4¹¹ × 2¹¹ × 5¹¹ × 3¹¹

Insert the corresponding expression:

$20^{11}\times4^{11}\times2^{11}\times5^{11}\times3^{11}=$

To solve this problem, we will use the rule of exponents which allows us to simplify expressions of the form $a^n \times b^n = (a \times b)^n$.

Here's how to simplify the expression step by step:

• Step 1: Start with the original expression: $20^{11} \times 4^{11} \times 2^{11} \times 5^{11} \times 3^{11}$.

• Step 2: Recognize that each term (20, 4, 2, 5, and 3) is raised to the power of 11, which allows the use of the product of powers rule. We can combine these bases into a single base raised to the common power: $(20 \times 4 \times 2 \times 5 \times 3)^{11}$

Hence, the expression simplifies to $\left(20 \times 4 \times 2 \times 5 \times 3\right)^{11}$, which corresponds to choice 3.