To simplify the expression 2^3√16, we need to break it down step by step.
First, let's evaluate √16: √16 = 4
Now we rewrite the expression: 2^3 * 4
Next, we calculate 2^3: 2^3 = 8
Now we have: 8 * 4
Finally, we multiply: 8 * 4 = 32
Therefore, the simplified expression is 32.
The answer makes sense because we first simplified the square root of 16 and then multiplied it by 2 raised to the power of 3, following the rules of arithmetic.