Solution: 4 to the Power of 74 is equal to 3.5681192317649e+44
Methods
Step-by-step: finding 4 to the power of 74
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:
4
74
4^{74}
4 74
To simplify this, all that is needed is to multiply it out:
4 x 4 x 4 x 4 x ... (for a total of 74 times) = 3.5681192317649e+44
Therefore, 4 to the power of 74 is 3.5681192317649e+44.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 29 to the Power of 28?
What is 17 to the Power of 73?
What is 27 to the Power of 46?
What is 23 to the Power of 69?
What is 21 to the Power of 90?