Q:

What is 45 to the Power of 56?

Accepted Solution

A:
Solution: 45 to the Power of 56 is equal to 3.801025397145175e+92MethodsStep-by-step: finding 45 to the power of 56The 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 242^424. To solve this, we need to multiply the base, 2 by itself, 4 times - 2β‹…2β‹…2β‹…22\cdot2\cdot2\cdot22β‹…2β‹…2β‹…2 = 16. So 24=162^4 = 1624=16.So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:455645^{56}4556To simplify this, all that is needed is to multiply it out:45 x 45 x 45 x 45 x ... (for a total of 56 times) = 3.801025397145175e+92Therefore, 45 to the power of 56 is 3.801025397145175e+92.Related exponent problems:Here some other problems that you can read and practice with!What is 12 to the Power of 7?What is 29 to the Power of 72?What is 47 to the Power of 21?What is 83 to the Power of 20?What is 24 to the Power of 13?