Exponentials and Integers - Practice Problems

Background

Let's work some more problems involving exponentials and integers. Keep in mind that even though we are inputting integers, we'll usually end up with fractions, i.e. rational numbers.

Question

Evaluate:

1.  
2.  

Answer

1. 
2.  

Analysis

Since we're working specifically with exponentials, I'll do the work in terms of exponentials. Keep in mind that we could also get to the same answers by using fractional operations.

Question 1

Let's first put the terms into exponential forms:









And now we can do some exponential operations:





And now let's do the fractional operations:











Therefore:



Question 2



Let's once again put this into terms of exponentials:













And so therefore:



Vocabulary used:

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Where might you have come from?

Fact-orials Index

Operations with different kinds of numbers:

• Exponentials and Whole Numbers - Practice Problems
• Exponentials and Integers

Where might we go?

Operations with different kinds of numbers:

• Exponentials and Rational Numbers - Practice Problems