Solution: 56 to the Power of 70 is equal to 2.361358304410453e+122
Methods
Step-by-step: finding 56 to the power of 70
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
6
70
56^{70}
5 6 70
To simplify this, all that is needed is to multiply it out:
56 x 56 x 56 x 56 x ... (for a total of 70 times) = 2.361358304410453e+122
Therefore, 56 to the power of 70 is 2.361358304410453e+122.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 4 to the Power of 20?
What is 25 to the Power of 86?
What is 11 to the Power of 24?
What is 14 to the Power of 10?
What is 60 to the Power of 22?