What is 38 to the Power of 100?

In order to solve for 38 to the power of 100, we must first understand the structure. The number 38 is called the base, and the number 100 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: 38 to the Power of 100 is equal to 95139236463017634303061457225966052579249341063317851721245807515014450873050774044983357161119966145026554813309850328595541525803731574584100256988975333376

Methods

Step-by-step: finding 38 to the power of 100

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 -
2⋅2⋅2⋅22\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:

3810038^{100}

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

38 x 38 x 38 x 38 x ... (for a total of 100 times) = 95139236463017634303061457225966052579249341063317851721245807515014450873050774044983357161119966145026554813309850328595541525803731574584100256988975333376

Therefore, 38 to the power of 100 is 95139236463017634303061457225966052579249341063317851721245807515014450873050774044983357161119966145026554813309850328595541525803731574584100256988975333376.

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