Question

Question

Searching for patterns in numbers. Generate at least 4 data points for each sub question.
-In base 10, how are powers of the base represented?
1010 ^ 2 =? 10
1010 ^ 3 =? 10
1010 ^ 4 =? 10
1010 ^ 5 =? 10
-In base 2, how are powers of the base represented?
210 ^ 2 =? 2
210 ^ 3 =? 2
210 ^ 4 =? 2
210 ^ 5 =? 2
--In base 8, how are powers of the base represented?
8 10 ^ 2 =? 8
8 10 ^ 3 =? 8
8 10 ^ 4 =? 8
8 10 ^ 5 =? 8
-In base 16, how are powers of the base represented?
1610 ^ 2 =? 16
1610 ^ 3 =? 16
1610 ^ 4 =? 16
1610 ^ 5 =? 16

Answer 1

In base 10, powers of 10 are represented by multiplying the base number by itself. The same concept applies to bases 2, 8, and 16.

Step-by-step explanation:

When raising a number to a power in base 10, such as 10^2, you simply multiply the base number (10) by itself the specified number of times. For example, 10^2 = 10 * 10 = 100.

In base 2, the process is the same. 2^2 = 2 * 2 = 4.

In base 8, 8^2 = 8 * 8 = 64.

In base 16, 16^2 = 16 * 16 = 256.