Q:

What is 4 to the Power of 77?

Accepted Solution

A:
Solution: 4 to the Power of 77 is equal to 2.283596308329536e+46 Methods Step-by-step: finding 4 to the power of 77 The first step is to understand what it means when a number has an exponent. The β€œpower” 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 β‹… 2 β‹… 2 β‹… 2 2\cdot2\cdot2\cdot2 2 β‹… 2 β‹… 2 β‹… 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: 4 77 4^{77} 4 77 To simplify this, all that is needed is to multiply it out: 4 x 4 x 4 x 4 x ... (for a total of 77 times) = 2.283596308329536e+46 Therefore, 4 to the power of 77 is 2.283596308329536e+46. Related exponent problems: Here some other problems that you can read and practice with! What is 27 to the Power of 18? What is 21 to the Power of 85? What is 2 to the Power of 23? What is 56 to the Power of 3? What is 42 to the Power of 7?