%5E-5.jpeg "(1/3)^-5")
Understanding (1/3)^-5
In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. In this case, (1/3)^-5 can be simplified as follows:
Applying the Rule of Negative Exponents
- Reciprocal: The reciprocal of (1/3) is 3/1, or simply 3.
- Positive Exponent: The exponent becomes positive, so we have 3^5.
Calculating the Result
- Expansion: 3^5 means 3 multiplied by itself five times: 3 * 3 * 3 * 3 * 3.
- Solution: 3^5 = 243
Final Answer
Therefore, (1/3)^-5 equals 243.