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, let's calculate the missing values and equalities for the exponent expressions provided:

1. Finding the value for \( 36 \):

   • The expression that equals \( 36 \) is \( 6^2 \) since \( 6^2 = 36 \).

2. Finding the value for \( 256 \):

   • The expression that equals \( 256 \) is \( 4^4 \) since \( 4^4 = 256 \) (also, \( 2^8 = 256 \) but we'll go with \( 4^4 \) for clarity).

3. Finding the value for \( 2^5 \):

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

4. Finding the value for \( 8^3 \):

   • The value of \( 8^3 \) is \( 512 \) since \( 8^3 = 8 \times 8 \times 8 = 512 \).

Now we can fill in the table as follows:

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

So the final mappings are:

• \( 6^2 \) matches with \( 36 \)
• \( 4^4 \) matches with \( 256 \)
• \( 2^5 \) matches with \( 32 \)
• \( 8^3 \) matches with \( 512 \)