Q:

What is 2 to the Power of 25?

Accepted Solution

A:
Solution: 2 to the Power of 25 is equal to 33554432 Methods Step-by-step: finding 2 to the power of 25 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 25 2^{25} 2 25 To simplify this, all that is needed is to multiply it out: 2 x 2 x 2 x 2 x ... (for a total of 25 times) = 33554432 Therefore, 2 to the power of 25 is 33554432. Related exponent problems: Here some other problems that you can read and practice with! What is 1 to the Power of 67? What is 4 to the Power of 10? What is 9 to the Power of 72? What is 18 to the Power of 16? What is 11 to the Power of 17?