Math Tutor Explains: What is 74 to the Power of 88?

A math tutor would explain that to solve for 74 to the power of 88, we must first understand the structure. The number 74 is called the base, and the number 88 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: 74 to the Power of 88 is equal to 310735832155510791293493670086196231855937359647073562595259226089973949703743053416391951930051901100848213541837317478191342903431336094861647554669656270255947776

Methods

Step-by-step from math tutor: finding 74 to the power of 88

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:

748874^{88}

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

74 x 74 x 74 x 74 x ... (for a total of 88 times) = 310735832155510791293493670086196231855937359647073562595259226089973949703743053416391951930051901100848213541837317478191342903431336094861647554669656270255947776

Therefore, 74 to the power of 88 is 310735832155510791293493670086196231855937359647073562595259226089973949703743053416391951930051901100848213541837317478191342903431336094861647554669656270255947776.

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