Q:

What is 78 to the Power of 14?

Accepted Solution

A:
Solution: 78 to the Power of 14 is equal to 3.0854920919665446e+26 Methods Step-by-step: finding 78 to the power of 14 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: 7 8 14 78^{14} 7 8 14 To simplify this, all that is needed is to multiply it out: 78 x 78 x 78 x 78 x ... (for a total of 14 times) = 3.0854920919665446e+26 Therefore, 78 to the power of 14 is 3.0854920919665446e+26. Related exponent problems: Here some other problems that you can read and practice with! What is 22 to the Power of 3? What is 10 to the Power of 20? What is 5 to the Power of 14? What is 99 to the Power of 1? What is 56 to the Power of 8?