Solution: 29 to the Power of 49 is equal to 4.54466522367842e+71
Methods
Step-by-step: finding 29 to the power of 49
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
9
49
29^{49}
2 9 49
To simplify this, all that is needed is to multiply it out:
29 x 29 x 29 x 29 x ... (for a total of 49 times) = 4.54466522367842e+71
Therefore, 29 to the power of 49 is 4.54466522367842e+71.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 30 to the Power of 84?
What is 19 to the Power of 41?
What is 9 to the Power of 12?
What is 3 to the Power of 28?
What is 25 to the Power of 15?