How do you simplify \frac { p ^ { - 4} q ^ { - 4} r ^ { 0} \cdot p ^ { - 1} r ^ { - 2} } { ( 2p ^ { 2} q ^ { - 2} r ^ { 0} ) ^ { 3} }p−4q−4r0⋅p−1r−2(2p2q−2r0)3?
1 Answer
Explanation:
There are four rules you need to know. First, note that when you have 0 as your exponent, you are getting a result of 1 (assuming that number ≠ 0). This means:
The second is that when you raise an exponent to an exponent, you multiply the exponents. So:
When you multiply exponents, you add the exponents together. When you divide exponents, you subtract the bottom from the top. In other words:
If you are multiplying and dividing by exponents, you can combine both above to get:
Knowing these, we can simplify the expression you are given.
Since we have
Now that we got the first two rules out of the way, let's multiply and divide the exponents. Then we can simplify.
