Johan is filling out the table below by matching exponent expressions and its numerical value. Drag and drop the missing expressions and values into the appropriate boxes in the table.

Question

Exponent Expression Value of Expression
36
256
2^5
8^3

Answer 1

To fill out the table with the correct exponent expressions and their corresponding numerical values, we can calculate the values for each expression given.

1. For \(2^5\):

   • \(2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32\)

2. For \(8^3\):

   • \(8^3 = 8 \times 8 \times 8 = 512\)

Now, filling in the table with the calculated values:

| Exponent Expression | Value of Expression | |---------------------|---------------------| | 36 | 6^2 | | 256 | 16^2 | | 2^5 | 32 | | 8^3 | 512 |

Thus, the completed table looks like this:

• Exponent Expression: \(6^2\) corresponds to 36.
• Exponent Expression: \(16^2\) corresponds to 256.
• Value of Expression: \(2^5\) corresponds to 32.
• Value of Expression: \(8^3\) corresponds to 512.