Q:

What is 14 to the Power of 100?

Accepted Solution

A:
Solution: 14 to the Power of 100 is equal to 4.1001860888499327e+114 Methods Step-by-step: finding 14 to the power of 100 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: 1 4 100 14^{100} 1 4 100 To simplify this, all that is needed is to multiply it out: 14 x 14 x 14 x 14 x ... (for a total of 100 times) = 4.1001860888499327e+114 Therefore, 14 to the power of 100 is 4.1001860888499327e+114. Related exponent problems: Here some other problems that you can read and practice with! What is 27 to the Power of 35? What is 6 to the Power of 86? What is 5 to the Power of 26? What is 1 to the Power of 31? What is 8 to the Power of 22?