Math Tutor Explains: What is 94 to the Power of 49?

A math tutor would explain that to solve for 94 to the power of 49, we must first understand the structure. The number 94 is called the base, and the number 49 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: 94 to the Power of 49 is equal to 4822417719226509575466952383169887005275762378822907236122345959026296772450410542069808055189504

Methods

Step-by-step from math tutor: finding 94 to the power of 49

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:

944994^{49}

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

94 x 94 x 94 x 94 x ... (for a total of 49 times) = 4822417719226509575466952383169887005275762378822907236122345959026296772450410542069808055189504

Therefore, 94 to the power of 49 is 4822417719226509575466952383169887005275762378822907236122345959026296772450410542069808055189504.

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