What is 25 to the Power of 53?

In order to solve for 25 to the power of 53, we must first understand the structure. The number 25 is called the base, and the number 53 is called the exponent. In short, the base must be multiplied by itself the number of times as the exponent. Let’s look at this problem in more detail.

Solution: 25 to the Power of 53 is equal to 123259516440783094595582588325435348386438505485784844495356082916259765625

Methods

Step-by-step: finding 25 to the power of 53

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

242^4
. To solve this, we need to multiply the base, 2 by itself, 4 times -
22222\cdot2\cdot2\cdot2
= 16. So
24=162^4 = 16
.

So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:

255325^{53}

To simplify this, all that is needed is to multiply it out:

25 x 25 x 25 x 25 x ... (for a total of 53 times) = 123259516440783094595582588325435348386438505485784844495356082916259765625

Therefore, 25 to the power of 53 is 123259516440783094595582588325435348386438505485784844495356082916259765625.

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