MATH SOLVE

1 month ago

Q:
# What is 11 to the Power of 41?

Accepted Solution

A:

Solution: 11 to the Power of 41 is equal to 4.9785181124993545e+42
Methods
Step-by-step: finding 11 to the power of 41
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:
1
1
41
11^{41}
1 1 41
To simplify this, all that is needed is to multiply it out:
11 x 11 x 11 x 11 x ... (for a total of 41 times) = 4.9785181124993545e+42
Therefore, 11 to the power of 41 is 4.9785181124993545e+42.
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