Q:

What is 26 to the Power of 45?

Accepted Solution

A:
Solution: 26 to the Power of 45 is equal to 4.71846413888778e+63 Methods Step-by-step: finding 26 to the power of 45 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 6 45 26^{45} 2 6 45 To simplify this, all that is needed is to multiply it out: 26 x 26 x 26 x 26 x ... (for a total of 45 times) = 4.71846413888778e+63 Therefore, 26 to the power of 45 is 4.71846413888778e+63. Related exponent problems: Here some other problems that you can read and practice with! What is 6 to the Power of 31? What is 1 to the Power of 25? What is 38 to the Power of 10? What is 18 to the Power of 47? What is 20 to the Power of 32?