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 by matching the exponent expressions and their numerical values, we can find the values of the given expressions:

1. \(2^5\):

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

2. \(8^3\):

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

Now, let's match these expressions to their numerical values.

Here’s how the table looks after filling in the missing expressions and values:

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

Thus, the complete table filled correctly would be:

• Exponent Expression: \(36\)

  • Value of Expression: \(6\)

• Exponent Expression: \(256\)

  • Value of Expression: \(2^8\)

• Exponent Expression: \(2^5\)

  • Value of Expression: \(32\)

• Exponent Expression: \(8^3\)

  • Value of Expression: \(512\)