What is the result of simplifying 3^4?

What is the result of simplifying 3^4?

• A. 81.
• B. 64.
• C. 12.
• D. 9.

Answer: (A)

Exponentiation means repeating the same factor several times. With base 3 and exponent 4, you multiply 3 by itself four times: 3 × 3 × 3 × 3. Working it out: 3 × 3 = 9, then 9 × 3 = 27, and 27 × 3 = 81. Another way to see it is (3^2)^2 = 9^2 = 81. So the result is 81. The other numbers come from different operations or powers: 64 could come from 4^3 or 2^6, 12 is simply 3 × 4, and 9 is 3^2.

Exponentiation means repeating the same factor several times. With base 3 and exponent 4, you multiply 3 by itself four times: 3 × 3 × 3 × 3. Working it out: 3 × 3 = 9, then 9 × 3 = 27, and 27 × 3 = 81. Another way to see it is (3^2)^2 = 9^2 = 81. So the result is 81. The other numbers come from different operations or powers: 64 could come from 4^3 or 2^6, 12 is simply 3 × 4, and 9 is 3^2.