Multiplying Rational Expressions
Multiplying rational expressions is as easy as adding the exponents and simplifying. Ta da!
|Algebra||Rewrite rational expressions|
|Algebra II||Polynomials and Rational Expressions|
|Mathematics and Statistics Assessment||Rational and Exponential Expressions, Equations, and Functions|
|Polynomials and Rational Expressions||Factoring|
Their dilemma is represented by the following...
4 x over 5 y squared times 20 x-squared y over y to the fourth.
Now let's talk about what they have in common.
Remember, usually when we multiply fractions, we multiply across top and bottom.
But when we see a chance, we can simplify first by canceling any duplicate factors.
Looking at our problem, we can see that the 20 in the top of the second fraction
and the 5 in the bottom of the first fraction are both factors of 5.
We can simplify by dividing 20 by 5 to get 4,
and divide the 5 on the bottom by 5 to get 1.
Looking at the second fraction, we can cancel the top y with the y to the fourth on the bottom...
leaving y to the power of three.
Now we can just multiply across the top of the two fractions...
4 x times 4 x-squared equals 16 x-cubed.
And multiply across the bottom... y-squared times y-cubed...
...remember that we multiply two terms with the same base, and we can add the two exponents...
in this case, the 2 and 3, to get y to the fifth.
So the answer is 16 x cubed over y to the power of 5.
And on the space station orbiting Jupiter, this result means that it's Xavier's turn
to take out the plutonium.
Don't forget to shut the airlock.