Q:

What is 45 to the Power of 35?

Accepted Solution

A:
Solution: 45 to the Power of 35 is equal to 7.285141342416294e+57MethodsStep-by-step: finding 45 to the power of 35The 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:453545^{35}4535To simplify this, all that is needed is to multiply it out:45 x 45 x 45 x 45 x ... (for a total of 35 times) = 7.285141342416294e+57Therefore, 45 to the power of 35 is 7.285141342416294e+57.Related exponent problems:Here some other problems that you can read and practice with!What is 11 to the Power of 100?What is 6 to the Power of 53?What is 18 to the Power of 73?What is 13 to the Power of 7?What is 17 to the Power of 49?