Q:

What is 81 to the Power of 62?

Accepted Solution

A:
Solution: 81 to the Power of 62 is equal to 2.1187083124088513e+118 Methods Step-by-step: finding 81 to the power of 62 The 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 2 4 2^4 2 4 . To solve this, we need to multiply the base, 2 by itself, 4 times - 2 ⋅ 2 ⋅ 2 ⋅ 2 2\cdot2\cdot2\cdot2 2 ⋅ 2 ⋅ 2 ⋅ 2 = 16. So 2 4 = 16 2^4 = 16 2 4 = 16 . So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of: 8 1 62 81^{62} 8 1 62 To simplify this, all that is needed is to multiply it out: 81 x 81 x 81 x 81 x ... (for a total of 62 times) = 2.1187083124088513e+118 Therefore, 81 to the power of 62 is 2.1187083124088513e+118. Related exponent problems: Here some other problems that you can read and practice with! What is 22 to the Power of 52? What is 10 to the Power of 32? What is 80 to the Power of 17? What is 85 to the Power of 13? What is 54 to the Power of 21?