Q:

What is 45 to the Power of 21?

Accepted Solution

A:
Solution: 45 to the Power of 21 is equal to 5.217503983092897e+34MethodsStep-by-step: finding 45 to the power of 21The 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:452145^{21}4521To simplify this, all that is needed is to multiply it out:45 x 45 x 45 x 45 x ... (for a total of 21 times) = 5.217503983092897e+34Therefore, 45 to the power of 21 is 5.217503983092897e+34.Related exponent problems:Here some other problems that you can read and practice with!What is 19 to the Power of 23?What is 42 to the Power of 8?What is 74 to the Power of 13?What is 39 to the Power of 29?What is 80 to the Power of 9?