To find the value of [tex]\(3^5\)[/tex], we need to raise the number 3 to the power of 5. This means multiplying the number 3 by itself four more times, for a total of five factors of 3:
[tex]\[
3^5 = 3 \times 3 \times 3 \times 3 \times 3
\][/tex]
Carrying out the multiplications step-by-step:
1. Calculate [tex]\(3 \times 3\)[/tex]:
[tex]\[
3 \times 3 = 9
\][/tex]
2. Multiply the result by 3:
[tex]\[
9 \times 3 = 27
\][/tex]
3. Multiply the new result by 3:
[tex]\[
27 \times 3 = 81
\][/tex]
4. Finally, multiply the result by 3 one more time:
[tex]\[
81 \times 3 = 243
\][/tex]
Thus, the value of [tex]\(3^5\)[/tex] is 243. Therefore, the correct answer is:
d. 243
