What is 32 to the Power of 19?

In order to solve for 32 to the power of 19, we must first understand the structure. The number 32 is called the base, and the number 19 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: 32 to the Power of 19 is equal to 39614081257132168796771975168

Methods

Step-by-step: finding 32 to the power of 19

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:

321932^{19}

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

32 x 32 x 32 x 32 x ... (for a total of 19 times) = 39614081257132168796771975168

Therefore, 32 to the power of 19 is 39614081257132168796771975168.

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