Final answer:
2 to the power of 13 is the number 2 multiplied by itself a total of 13 times, which equals 8192. Exponent rules, such as knowing that 2 to the power of 10 equals 1024, can simplify the calculation.
Step-by-step explanation:
The student has asked, "2 to the power of 13 is?" To solve this, we need to understand the concept of raising a number to a power. If we break it down, 2 to the power of 13 means multiplying 2 by itself 13 times. We can use exponent rules to make the calculation easier.
As an example, let's use exponent rules to simplify 213. We can recall that 210 equals 1024, which is a common power of 2 that many are familiar with. To find 213, we would then multiply 1024 by 2 three more times (210 × 23), or simply use a calculator to get the exact answer of 8192.
Also, in mathematics, different methods can lead to the same answer, just as we can express a multiplication of exponents as a higher power of the main number or vice versa.