Q:

What is 76 to the Power of 61?

Accepted Solution

A:
Solution: 76 to the Power of 61 is equal to 5.365733875222985e+114MethodsStep-by-step: finding 76 to the power of 61The first step is to understand what it means when a number has an exponent. The “power” 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 - 2⋅2⋅2⋅22\cdot2\cdot2\cdot22⋅2⋅2⋅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:766176^{61}7661To simplify this, all that is needed is to multiply it out:76 x 76 x 76 x 76 x ... (for a total of 61 times) = 5.365733875222985e+114Therefore, 76 to the power of 61 is 5.365733875222985e+114.Related exponent problems:Here some other problems that you can read and practice with!What is 20 to the Power of 93?What is 4 to the Power of 55?What is 22 to the Power of 91?What is 10 to the Power of 61?What is 18 to the Power of 48?