Question

which expression shows $2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2$ written as a power?
$2^6$
what is the value of $2^6$?
$\

$$\begin{align*}2^6 &= 2 \\cdot 2 \\cdot 2 \\cdot 2 \\cdot 2 \\cdot 2 \\\\&= (2 \\cdot 2) \\cdot (2 \\cdot 2) \\cdot (2 \\cdot 2) \\\\&= \\boxed{?} \\cdot \\boxed{?} \\cdot \\boxed{?}\\end{align*}$$

Explanation:

Step1: Calculate \(2 \cdot 2\)

\(2 \cdot 2 = 4\)

Step2: Substitute into the expression

The expression \((2 \cdot 2) \cdot (2 \cdot 2) \cdot (2 \cdot 2)\) becomes \(4 \cdot 4 \cdot 4\)

Step3: Calculate the final value (optional for the fill - in, but to check)

\(4\cdot4 = 16\), then \(16\cdot4=64\) (and we know \(2^{6}=64\))

Answer:

The three boxes should be filled with \(4\), \(4\), \(4\) respectively. So the expression is \(4\cdot4\cdot4\)