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 match the exponent expressions with their numerical values, we need to evaluate the expressions provided and find their numerical values.

1. Exponent Expression: \(2^5\)

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

2. Exponent Expression: \(8^3\)

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

Now we can match these with the numerical values:

| Exponent Expression | Value of Expression | |--------------------|---------------------| | \(2^5\) | 32 | | \(8^3\) | 512 | | - | 36 | | - | 256 |

As for the values 36 and 256, they correspond to the following exponent expressions:

• 36 can be expressed as \(6^2\) since \(6 \times 6 = 36\).
• 256 is equal to \(4^4\) since \(4 \times 4 \times 4 \times 4 = 256\).

So the complete table would be:

| Exponent Expression | Value of Expression | |---------------------|---------------------| | \(2^5\) | 32 | | \(8^3\) | 512 | | \(6^2\) | 36 | | \(4^4\) | 256 |

Please ensure the matching is correct in your context.