Q:

What is 23 to the Power of 8?

Accepted Solution

A:
Solution: 23 to the Power of 8 is equal to 78310985281 Methods Step-by-step: finding 23 to the power of 8 The first step is to understand what it means when a number has an exponent. The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value. The second step is to write the number in the base-exponent form, and lastly calculate what the final result would be. Consider the example of 2 to the power of 4: in exponent form that would be 2 4 2^4 2 4 . To solve this, we need to multiply the base, 2 by itself, 4 times - 2 ⋅ 2 ⋅ 2 ⋅ 2 2\cdot2\cdot2\cdot2 2 ⋅ 2 ⋅ 2 ⋅ 2 = 16. So 2 4 = 16 2^4 = 16 2 4 = 16 . So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of: 2 3 8 23^{8} 2 3 8 To simplify this, all that is needed is to multiply it out: 23 x 23 x 23 x 23 x 23 x 23 x 23 x 23 = 78310985281 Therefore, 23 to the power of 8 is 78310985281. Related exponent problems: Here some other problems that you can read and practice with! What is 7 to the Power of 4? What is 8 to the Power of 16? What is 13 to the Power of 42? What is 12 to the Power of 77? What is 26 to the Power of 2?