Q:

What is 81 to the Power of 61?

Accepted Solution

A:
Solution: 81 to the Power of 61 is equal to 2.6156892745788286e+116MethodsStep-by-step: finding 81 to the power of 61The 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:816181^{61}8161To simplify this, all that is needed is to multiply it out:81 x 81 x 81 x 81 x ... (for a total of 61 times) = 2.6156892745788286e+116Therefore, 81 to the power of 61 is 2.6156892745788286e+116.Related exponent problems:Here some other problems that you can read and practice with!What is 22 to the Power of 3?What is 30 to the Power of 86?What is 6 to the Power of 65?What is 27 to the Power of 96?What is 15 to the Power of 99?