Q:

What is 2 to the Power of 23?

Accepted Solution

A:
Solution: 2 to the Power of 23 is equal to 8388608 Methods Step-by-step: finding 2 to the power of 23 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 23 2^{23} 2 23 To simplify this, all that is needed is to multiply it out: 2 x 2 x 2 x 2 x ... (for a total of 23 times) = 8388608 Therefore, 2 to the power of 23 is 8388608. Related exponent problems: Here some other problems that you can read and practice with! What is 20 to the Power of 12? What is 18 to the Power of 28? What is 10 to the Power of 100? What is 15 to the Power of 39? What is 9 to the Power of 16?