College Algebra : College Algebra
Study concepts, example questions & explanations for College Algebra
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Example Questions
Example Question #21 : Integer Exponents
What is the value of 
A value raised to the fourth power will multiply itself four times.
The answer is:
Example Question #22 : Integer Exponents
Evaluate:
Step 1: Evaluate each term separately...
Step 2: Re-write statement using the converted numbers.
Add:
Simplify:
Example Question #22 : Integer Exponents
Express 
No Solution
Whenever we have a negative exponent in a exponential term, we change the term..
We write 
So..
Example Question #24 : Integer Exponents
Evaluate:
Step 1: Expand each term:
Step 2: Multiply to find the value of each term..
Step 3: Re-write the original question, replacing the exponents with the numbers we calculated...
Step 4: Add/Subtract
Example Question #1 : Fractional Exponents
Simplify:
An option to solve this is to split up the fraction. Rewrite the fractional exponent as follows:
A value to its half power is the square root of that value.
Substitute this value back into 
Example Question #24 : Review And Other Topics
Which of the following is equivalent to 
Which of the following is equivalent to 
When dealing with fractional exponents, keep the following in mind: The numerator is making the base bigger, so treat it like a regular exponent. The denominator is making the base smaller, so it must be the root you are taking.
This means that 
So if we put it together we get:
Example Question #25 : Review And Other Topics
Evaluate
When dealing with fractional exponents, remember this form:
With a negative exponent, we need to remember this form:
Example Question #141 : Understanding Exponents
First, distribute the exponent to both the numerator and denominator of the fraction.
The numerator of a fractional exponent is the power you take the number to and the denominator is the root that you take the number to.
You can take the cubed root and square the numbers in either order but if you can do the root first that is often easier.
This is the answer. Alternatively, you could have squared the numbers first before taking the cubed root.
Example Question #27 : Review And Other Topics
Evaluate:
In order to evaluate fractional exponents, we can express them using the following relationship:
In this formula, 
We can then rewrite and solve the expression in the following way.
Dividing by a fraction is the same as multiplying by its reciprocal.
Example Question #3 : Rational Exponents
Evaluate.
Exponents raised to a power of <1 can be written as the root of the denominator.
So:
Recall that a square root can give two answers, one positive and one negative.
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