Q:

What is 27 to the Power of 16?

Accepted Solution

A:
Solution: 27 to the Power of 16 is equal to 7.976644307687251e+22 Methods Step-by-step: finding 27 to the power of 16 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: 2 7 16 27^{16} 2 7 16 To simplify this, all that is needed is to multiply it out: 27 x 27 x 27 x 27 x ... (for a total of 16 times) = 7.976644307687251e+22 Therefore, 27 to the power of 16 is 7.976644307687251e+22. Related exponent problems: Here some other problems that you can read and practice with! What is 14 to the Power of 41? What is 16 to the Power of 44? What is 10 to the Power of 45? What is 30 to the Power of 60? What is 87 to the Power of 7?