Solution: 71 to the Power of 19 is equal to 1.4924803628720312e+35
Methods
Step-by-step: finding 71 to the power of 19
The first step is to understand what it means when a number has an exponent. The βpowerβ 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
1
19
71^{19}
7 1 19
To simplify this, all that is needed is to multiply it out:
71 x 71 x 71 x 71 x ... (for a total of 19 times) = 1.4924803628720312e+35
Therefore, 71 to the power of 19 is 1.4924803628720312e+35.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 30 to the Power of 24?
What is 2 to the Power of 64?
What is 27 to the Power of 97?
What is 12 to the Power of 3?
What is 16 to the Power of 34?