Q:

What is 81 to the Power of 40?

Accepted Solution

A:
Solution: 81 to the Power of 40 is equal to 2.184745005283921e+76MethodsStep-by-step: finding 81 to the power of 40The 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:814081^{40}8140To simplify this, all that is needed is to multiply it out:81 x 81 x 81 x 81 x ... (for a total of 40 times) = 2.184745005283921e+76Therefore, 81 to the power of 40 is 2.184745005283921e+76.Related exponent problems:Here some other problems that you can read and practice with!What is 25 to the Power of 69?What is 30 to the Power of 58?What is 2 to the Power of 67?What is 1 to the Power of 59?What is 24 to the Power of 12?