GED Math : Exponents
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Example Questions
Example Question #151 : Complex Operations
Multiply the following:
To multiply variables with exponents, we will use the following formula:
So we get
Example Question #21 : Exponents
Divide the following:
To divide variables with exponents, we will use the following formula:
Now, let’s divide. We get
Example Question #491 : Numbers And Operations
Multiply the following:
To multiply variables with exponents, we will use the following formula:
Now, we will multiply. We get
Example Question #21 : Exponents
Which is true of 
The square of a number is the product of the number and itself.
The product of two negative numbers is equal to the (positive) product of their (positive) absolute values, so
Example Question #21 : Exponents
Evaluate:
Simplify the numerator and denominator.
The answer is:
Example Question #494 : Numbers And Operations
Simplify:
Recall that when you have a power to another power, you multiply their exponents. This means that:
Therefore, you can rewrite your question:
Next, recall that when you multiply numbers of the same base, you add the exponents. Thus, you can simplify:
Example Question #495 : Numbers And Operations
Simplify:
Cannot be simplified
For a question like this, it can help to rewrite the 
Now, you can "distribute" the power of 
For numbers of the same base, you just need to add the powers:
Given the form of the answer options, this suffices!
Example Question #496 : Numbers And Operations
Simplify:
None of the others
Begin by breaking apart the values in the denominator:
Now, you can go another step:
Now, simplify the 
Now, just "reorganize things":
Finally, you can cancel out the appropriate 
Example Question #21 : Exponents
Simplify the following:
Remember that for negative exponent values, you "flip" the number over the bar of the fraction of which it is a part. When you do this, you then make its power positive. You should always start by doing this. It makes it easier for most students to understand the reductions that follow upon that.
Thus, for your value, you know:
Combine your like variables first. You do this by adding their exponents:
Now, cancel the like terms:
Example Question #22 : Exponents
Remember that for negative exponent values, you "flip" the number over the bar of the fraction of which it is a part. When you do this, you then make its power positive. You should always start by doing this. It makes it easier for most students to understand the reductions that follow upon that.
Thus, for your value, you know:
Combine your like variables first. You do this by adding their exponents:
Luckily, there is no canceling for you to do!
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