Q:

What is 65 to the Power of 16?

Accepted Solution

A:
Solution: 65 to the Power of 16 is equal to 1.0153451678210142e+29 Methods Step-by-step: finding 65 to the power of 16 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: 6 5 16 65^{16} 6 5 16 To simplify this, all that is needed is to multiply it out: 65 x 65 x 65 x 65 x ... (for a total of 16 times) = 1.0153451678210142e+29 Therefore, 65 to the power of 16 is 1.0153451678210142e+29. Related exponent problems: Here some other problems that you can read and practice with! What is 7 to the Power of 72? What is 3 to the Power of 41? What is 14 to the Power of 66? What is 1 to the Power of 20? What is 11 to the Power of 9?