Question

row 8: first cell 7, second cell (handwritten, unclear), third cell (handwritten, unclear), fourth cell (empty)
row 9: first cell $2^5$, second cell $2 \cdot 2 \cdot 2 \cdot 2 \cdot 2$, third cell \two to the fifth power\, fourth cell (empty)

Explanation:

To solve for the value of \(2^5\), we can use the definition of exponents. An exponent indicates how many times a base number is multiplied by itself.

Step 1: Understand the exponent notation

For \(2^5\), the base is \(2\) and the exponent is \(5\). This means we need to multiply \(2\) by itself \(5\) times.

Step 2: Expand the exponentiation

\[
2^5 = 2 \times 2 \times 2 \times 2 \times 2
\]

Step 3: Perform the multiplications step - by - step

First, multiply the first two \(2\)s: \(2\times2 = 4\)
Then, multiply the result by the next \(2\): \(4\times2=8\)
Next, multiply that result by the next \(2\): \(8\times2 = 16\)
Finally, multiply by the last \(2\): \(16\times2=32\)

Answer:

The value of \(2^5\) is \(32\).