Q:

What is 22 to the Power of 75?

Accepted Solution

A:
Solution: 22 to the Power of 75 is equal to 4.805084857274475e+100 Methods Step-by-step: finding 22 to the power of 75 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: 2 2 75 22^{75} 2 2 75 To simplify this, all that is needed is to multiply it out: 22 x 22 x 22 x 22 x ... (for a total of 75 times) = 4.805084857274475e+100 Therefore, 22 to the power of 75 is 4.805084857274475e+100. Related exponent problems: Here some other problems that you can read and practice with! What is 9 to the Power of 95? What is 13 to the Power of 63? What is 11 to the Power of 28? What is 14 to the Power of 83? What is 17 to the Power of 56?