WRITE EACH NUMBER USING AN EXPONENT AND THE GIVEN BASE: 13,BASE 13

13 to the first power is ....

13

Okay but why all caps-

To write the number 13 in base 13 using an exponent, you can simply write it as 13^1.

The base of the number system determines the number of digits available in each position. In base 13, we have 13 different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, and C.

Since the number 13 has a value larger than the largest single digit in base 13 (which is C), we need to represent it using a combination of digits. In this case, we use the digit 1 in the "tens" position, and the digit 3 in the "units" position, hence resulting in 13.

To express it using an exponent, we write 13 as 13^1. The exponent 1 indicates that we have one group of the base value (13) in the number.

Therefore, in base 13, the number 13 can be written as 13^1.