Solution: 77 to the Power of 30 is equal to 3.932980156076083e+56
Methods
Step-by-step: finding 77 to the power of 30
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:
7
7
30
77^{30}
7 7 30
To simplify this, all that is needed is to multiply it out:
77 x 77 x 77 x 77 x ... (for a total of 30 times) = 3.932980156076083e+56
Therefore, 77 to the power of 30 is 3.932980156076083e+56.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 10 to the Power of 40?
What is 30 to the Power of 72?
What is 14 to the Power of 45?
What is 24 to the Power of 81?
What is 16 to the Power of 49?