Q:

What is 82 to the Power of 2?

Accepted Solution

A:
Solution: 82 to the Power of 2 is equal to 6724 Methods Step-by-step: finding 82 to the power of 2 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: 8 2 2 82^{2} 8 2 2 To simplify this, all that is needed is to multiply it out: 82 x 82 = 6724 Therefore, 82 to the power of 2 is 6724. Related exponent problems: Here some other problems that you can read and practice with! What is 9 to the Power of 33? What is 10 to the Power of 96? What is 16 to the Power of 54? What is 2 to the Power of 11? What is 1 to the Power of 58?