Q:

What is 37 to the Power of 64?

Accepted Solution

A:
Solution: 37 to the Power of 64 is equal to 2.3169162752708973e+100 Methods Step-by-step: finding 37 to the power of 64 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: 3 7 64 37^{64} 3 7 64 To simplify this, all that is needed is to multiply it out: 37 x 37 x 37 x 37 x ... (for a total of 64 times) = 2.3169162752708973e+100 Therefore, 37 to the power of 64 is 2.3169162752708973e+100. Related exponent problems: Here some other problems that you can read and practice with! What is 3 to the Power of 89? What is 4 to the Power of 20? What is 2 to the Power of 57? What is 19 to the Power of 23? What is 86 to the Power of 15?