Calculate 6^5: Converting an Exponential Expression to an Integer

To solve the problem of finding $6^5$ and expressing it as an integer, we need to carry out the multiplication of $6$ by itself five times. Here is the step-by-step calculation:

• Step 1: Multiply $6 \times 6$ which equals $36$.
• Step 2: Multiply $36 \times 6$ which results in $216$.
• Step 3: Multiply $216 \times 6$ obtaining $1296$.
• Step 4: Multiply $1296 \times 6$ to get $7776$.

By following these calculations, we find that $6^5 = 7776$.

Thus, the integer representation of $6^5$ is $7776$.