To determine the value of 7 to the fifth power, we'll calculate [tex]\( 7^5 \)[/tex].
To do this calculation, let's break it down into smaller steps:
1. First multiplication:
[tex]\[
7 \times 7 = 49
\][/tex]
2. Second multiplication:
[tex]\[
49 \times 7 = 343
\][/tex]
3. Third multiplication:
[tex]\[
343 \times 7 = 2401
\][/tex]
4. Fourth multiplication:
[tex]\[
2401 \times 7 = 16807
\][/tex]
Hence, [tex]\( 7^5 = 16807 \)[/tex].
Now, let's compare this result to the given choices:
A. 35 \\
B. 2401 \\
C. 16807 \\
D. 78125
The correct answer is:
C. 16807
