Which is equal to $11^3$?
A. 33
B. 1,331
C. 242
D. 3,111
Answer (2)
We are asked to find the value of 1 1 3 .
Calculate 1 1 3 = 11 × 11 × 11 = 121 × 11 = 1331 .
Compare the result with the given options.
The correct answer is 1 , 331 .
Explanation
Understanding the Problem We are asked to find the value of 1 1 3 , which means 11 × 11 × 11 .
Calculating the Value Let's calculate 1 1 3 . First, we calculate 11 × 11 , which equals 121. Then, we multiply 121 by 11: 121 × 11 = 1331 .
Comparing with Options Now, we compare the result, 1331, with the given options: 33, 1,331, 242, 3,111. The correct option is 1,331.
Final Answer Therefore, 1 1 3 = 1331 .
Examples
Understanding exponents like 1 1 3 is crucial in many real-world scenarios. For example, when calculating compound interest, the formula often involves raising a number to a power. If you invest money and it grows at a certain percentage each year, the final amount can be calculated using exponents. Also, in computer science, understanding powers of 2 (like 2 3 , 2 4 , etc.) is essential because computers use binary code, which is based on powers of 2. So, knowing how to calculate exponents helps in understanding various aspects of finance and technology.
The value of 1 1 3 is calculated to be 1,331. Thus, the correct answer is option B. The calculation involves multiplying 11 by itself three times, resulting in 1331.
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