Q:

What is 5 to the Power of 14?

Accepted Solution

A:
Solution: 5 to the Power of 14 is equal to 6103515625 Methods Step-by-step: finding 5 to the power of 14 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: 5 14 5^{14} 5 14 To simplify this, all that is needed is to multiply it out: 5 x 5 x 5 x 5 x ... (for a total of 14 times) = 6103515625 Therefore, 5 to the power of 14 is 6103515625. Related exponent problems: Here some other problems that you can read and practice with! What is 30 to the Power of 87? What is 26 to the Power of 8? What is 12 to the Power of 61? What is 13 to the Power of 58? What is 22 to the Power of 10?