Q:

What is 75 to the Power of 82?

Accepted Solution

A:
Solution: 75 to the Power of 82 is equal to 5.6888384126212956e+153 Methods Step-by-step: finding 75 to the power of 82 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: 7 5 82 75^{82} 7 5 82 To simplify this, all that is needed is to multiply it out: 75 x 75 x 75 x 75 x ... (for a total of 82 times) = 5.6888384126212956e+153 Therefore, 75 to the power of 82 is 5.6888384126212956e+153. Related exponent problems: Here some other problems that you can read and practice with! What is 1 to the Power of 3? What is 17 to the Power of 41? What is 4 to the Power of 99? What is 27 to the Power of 62? What is 21 to the Power of 79?