Exponentials and Whole Numbers - Practice Problems

Background

Some more problems with whole numbers and exponentials.

Question

Evaluate the following:

1.  
2. 
3.  

Answer

1. 
2.  
3.  

Analysis

Question 1

There are a couple of ways we could work this problem: work through all the operations inside the brackets, then take that number to the 0th power, which will result in an answer of 1 (because anything to the 0th power = 1), or skip all that work and know that whatever number it is inside that bracket, the result is going to be 1.

Question 2

There are 3 terms: the fraction with the exponential terms, the multiplication term, and the 6 (which I threw in there just to break things up a bit).

So let's work through a few steps, using order of operations on each of the terms:









Therefore:



Question 3

It's always possible to have operations within the exponent of another term. We treat the operations inside the exponential as a bracket and work it separately from the base:





Therefore:



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• Exponentials and Integers - Practice Problems