MATH SOLVE

3 months ago

Q:
# What is 27 to the Power of 45?

Accepted Solution

A:

Solution: 27 to the Power of 45 is equal to 2.5785133671514282e+64
Methods
Step-by-step: finding 27 to the power of 45
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:
2
7
45
27^{45}
2 7 45
To simplify this, all that is needed is to multiply it out:
27 x 27 x 27 x 27 x ... (for a total of 45 times) = 2.5785133671514282e+64
Therefore, 27 to the power of 45 is 2.5785133671514282e+64.
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