Q:

What is 82 to the Power of 16?

Accepted Solution

A:
Solution: 82 to the Power of 16 is equal to 4.1785118500227024e+30 Methods Step-by-step: finding 82 to the power of 16 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: 8 2 16 82^{16} 8 2 16 To simplify this, all that is needed is to multiply it out: 82 x 82 x 82 x 82 x ... (for a total of 16 times) = 4.1785118500227024e+30 Therefore, 82 to the power of 16 is 4.1785118500227024e+30. Related exponent problems: Here some other problems that you can read and practice with! What is 13 to the Power of 45? What is 5 to the Power of 29? What is 18 to the Power of 71? What is 11 to the Power of 92? What is 9 to the Power of 21?