Q:

What is 45 to the Power of 88?

Accepted Solution

A:
Solution: 45 to the Power of 88 is equal to 3.038793664122538e+145MethodsStep-by-step: finding 45 to the power of 88The 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:458845^{88}4588To simplify this, all that is needed is to multiply it out:45 x 45 x 45 x 45 x ... (for a total of 88 times) = 3.038793664122538e+145Therefore, 45 to the power of 88 is 3.038793664122538e+145.Related exponent problems:Here some other problems that you can read and practice with!What is 2 to the Power of 44?What is 18 to the Power of 87?What is 26 to the Power of 9?What is 5 to the Power of 90?What is 16 to the Power of 98?