Final answer:
3х3^-4 is evaluated by taking the reciprocal of 3 and raising it to the fourth power, resulting in 1/81, which is approximately 0.0123.
Step-by-step explanation:
The question concerns evaluating the expression with exponential notation, specifically 3 to the power of -4 (notated as 3х3-4), which is a topic in indices or exponents. In indices, a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. Therefore, 3 raised to the power of -4 is calculated as 1 divided by 3 raised to the power of 4.
To find the value of 3-4:
- Take the reciprocal of 3 which is 1/3.
- Raise 3 to the fourth power: 3 * 3 * 3 * 3 = 81.
- The final answer is 1/81. As a decimal, this equals approximately 0.0123.