Q:

What is 21 to the Power of 81?

Accepted Solution

A:
Solution: 21 to the Power of 81 is equal to 1.2582382210233073e+107 Methods Step-by-step: finding 21 to the power of 81 The 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 2 4 2^4 2 4 . To solve this, we need to multiply the base, 2 by itself, 4 times - 2 β‹… 2 β‹… 2 β‹… 2 2\cdot2\cdot2\cdot2 2 β‹… 2 β‹… 2 β‹… 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: 2 1 81 21^{81} 2 1 81 To simplify this, all that is needed is to multiply it out: 21 x 21 x 21 x 21 x ... (for a total of 81 times) = 1.2582382210233073e+107 Therefore, 21 to the power of 81 is 1.2582382210233073e+107. Related exponent problems: Here some other problems that you can read and practice with! What is 26 to the Power of 64? What is 5 to the Power of 6? What is 25 to the Power of 67? What is 61 to the Power of 18? What is 28 to the Power of 81?