Q:

What is 33 to the Power of 23?

Accepted Solution

A:
Solution: 33 to the Power of 23 is equal to 8.429864951788192e+34 Methods Step-by-step: finding 33 to the power of 23 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 3 23 33^{23} 3 3 23 To simplify this, all that is needed is to multiply it out: 33 x 33 x 33 x 33 x ... (for a total of 23 times) = 8.429864951788192e+34 Therefore, 33 to the power of 23 is 8.429864951788192e+34. Related exponent problems: Here some other problems that you can read and practice with! What is 20 to the Power of 40? What is 4 to the Power of 60? What is 10 to the Power of 74? What is 15 to the Power of 71? What is 14 to the Power of 41?