Q:

What is 38 to the Power of 22?

Accepted Solution

A:
Solution: 38 to the Power of 22 is equal to 5.691662314786926e+34 Methods Step-by-step: finding 38 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 8 22 38^{22} 3 8 22 To simplify this, all that is needed is to multiply it out: 38 x 38 x 38 x 38 x ... (for a total of 22 times) = 5.691662314786926e+34 Therefore, 38 to the power of 22 is 5.691662314786926e+34. Related exponent problems: Here some other problems that you can read and practice with! What is 12 to the Power of 35? What is 2 to the Power of 99? What is 22 to the Power of 48? What is 23 to the Power of 92? What is 17 to the Power of 16?