Q:

What is 3 to the Power of 22?

Accepted Solution

A:
Solution: 3 to the Power of 22 is equal to 31381059609 Methods Step-by-step: finding 3 to the power of 22 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: 3 22 3^{22} 3 22 To simplify this, all that is needed is to multiply it out: 3 x 3 x 3 x 3 x ... (for a total of 22 times) = 31381059609 Therefore, 3 to the power of 22 is 31381059609. Related exponent problems: Here some other problems that you can read and practice with! What is 5 to the Power of 55? What is 22 to the Power of 40? What is 28 to the Power of 7? What is 21 to the Power of 37? What is 14 to the Power of 60?