Math Tutor Explains: What is 42 to the Power of 47?

A math tutor would explain that to solve for 42 to the power of 47, we must first understand the structure. The number 42 is called the base, and the number 47 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.

Math Tutor's Solution: 42 to the Power of 47 is equal to 19620797189109864846683672585216121453209956180728211483132480450702079950848

Methods

Step-by-step from math tutor: finding 42 to the power of 47

The first step a math tutor would suggest 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:

424742^{47}

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

42 x 42 x 42 x 42 x ... (for a total of 47 times) = 19620797189109864846683672585216121453209956180728211483132480450702079950848

Therefore, 42 to the power of 47 is 19620797189109864846683672585216121453209956180728211483132480450702079950848.

Math Tutor Suggests: Try related exponent problems

Our math tutors suggest reviewing other exponent problems that you can practice with!

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