All GED Math Resources
Example Questions
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 #492 : Numbers And Operations
Which is true of and ?
and
and
and
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
, which means that is equal to the opposite of the square of 7; that is,
Example Question #491 : Ged Math
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 as . We are doing this because the answer is given in terms of prime values:
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 by multiplying the exponents:
Now, just "reorganize things":
Finally, you can cancel out the appropriate s and the :
Example Question #165 : Complex Operations
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 #24 : 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!
Example Question #497 : Numbers And Operations
Simplify the following:
To multiply variables with exponents, we will use the following formula:
So, given the problem
we can solve. We get
Example Question #498 : Numbers And Operations
Evaluate and . Which statement is true of these two values?
and
and
has 5, an odd number, as an exponent, so is a negative number, and it can be calculated by taking the opposite of the fifth power of 4.
is equal to the opposite of the fifth power of 4 as well.
Therefore,
.
,
so
.