Q:

What is 31 to the Power of 45?

Accepted Solution

A:
Solution: 31 to the Power of 45 is equal to 1.2920407837478662e+67MethodsStep-by-step: finding 31 to the power of 45The 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:314531^{45}3145To simplify this, all that is needed is to multiply it out:31 x 31 x 31 x 31 x ... (for a total of 45 times) = 1.2920407837478662e+67Therefore, 31 to the power of 45 is 1.2920407837478662e+67.Related exponent problems:Here some other problems that you can read and practice with!What is 22 to the Power of 77?What is 14 to the Power of 25?What is 28 to the Power of 51?What is 13 to the Power of 84?What is 68 to the Power of 8?