Q:

What is 62 to the Power of 3?

Accepted Solution

A:
Solution: 62 to the Power of 3 is equal to 238328 Methods Step-by-step: finding 62 to the power of 3 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: 6 2 3 62^{3} 6 2 3 To simplify this, all that is needed is to multiply it out: 62 x 62 x 62 = 238328 Therefore, 62 to the power of 3 is 238328. Related exponent problems: Here some other problems that you can read and practice with! What is 22 to the Power of 30? What is 13 to the Power of 82? What is 2 to the Power of 45? What is 10 to the Power of 49? What is 29 to the Power of 71?