Q:

What is 31 to the Power of 57?

Accepted Solution

A:
Solution: 31 to the Power of 57 is equal to 1.017692440495184e+85MethodsStep-by-step: finding 31 to the power of 57The 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:315731^{57}3157To simplify this, all that is needed is to multiply it out:31 x 31 x 31 x 31 x ... (for a total of 57 times) = 1.017692440495184e+85Therefore, 31 to the power of 57 is 1.017692440495184e+85.Related exponent problems:Here some other problems that you can read and practice with!What is 17 to the Power of 49?What is 18 to the Power of 8?What is 21 to the Power of 85?What is 6 to the Power of 82?What is 19 to the Power of 10?