Find the value of $3^5$.
Answer (2)
We need to calculate 3 5 .
3 5 means 3 × 3 × 3 × 3 × 3 .
Multiplying these out, we get 3 5 = 243 .
Therefore, the final answer is 243 .
Explanation
Understanding the problem We are asked to find the value of 3 5 . This means we need to multiply 3 by itself 5 times.
Calculating the value We calculate 3 5 as follows: 3 5 = 3 × 3 × 3 × 3 × 3 = 243
Final Answer Therefore, the value of 3 5 is 243.
Examples
Understanding exponents is crucial in many fields, such as finance. For example, if you invest money with a fixed annual interest rate, the power of compounding can be calculated using exponents. If you invest $100 at a 5% annual interest rate, after 5 years, the amount will be 100 × ( 1.05 ) 5 . Calculating this helps you understand the growth of your investment over time, which is a practical application of exponents.
The value of 3 5 is calculated by multiplying 3 by itself 5 times, which equals 243. Therefore, 3 5 = 243 .
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