ISEE Upper Level Quantitative Reasoning › How to divide exponential variables
Simplify if .
Start by factoring the numerator. can be removed from each term.
Next, expand the denominator.
Simplify by canceling terms.
Simplify the following:
To divide variables with exponents, either:
Write out the multiplies, then reduce
or subtract the bottom exponent from the top, like so
Remember, negative exponent means dividing. would also be correct, but you should know that is equivalent to
Solve the following:
To divide like variables with exponents, we will use the following formula:
Also, we divide the coefficients like normal.
So, we get
Divide the following:
To divide variables with exponents, we will use the following formula:
Now, let’s combine the following:
Divide the following::
To divide variables with exponents, we will use the following formula:
Now, let’s divide the following:
Simplify:
Simplify:
If , simplify:
Divide the following:
To divide like terms with exponents, we will use the following formula:
So, we get
Simplify:
To simplify, we will use the following formula:
So, given the problem, we get