How to divide exponential variables
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ISEE Upper Level Quantitative Reasoning › How to divide exponential variables
Simplify if .
Explanation
Start by factoring the numerator. can be removed from each term.
Next, expand the denominator.
Simplify by canceling terms.
Simplify the following:
Explanation
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:
Explanation
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:
Explanation
To divide variables with exponents, we will use the following formula:
Now, let’s combine the following:
Divide the following::
Explanation
To divide variables with exponents, we will use the following formula:
Now, let’s divide the following:
Simplify:
Explanation
Simplify:
Explanation
If , simplify:
Explanation
Divide the following:
Explanation
To divide like terms with exponents, we will use the following formula:
So, we get
Simplify:
Explanation
To simplify, we will use the following formula:
So, given the problem, we get