This activity is about the division of algebraic terms with powers.
Remember what 10a3 and 15a2 mean and divide them.
|10 x a x
Each a from the top of the fraction will cancel out with an a from the bottom, leaving just one a the top.
However, we need not write out our method like this each time.
Remember the rules of indices for division:
am ÷ an = am-n
In this example, we would calculate a3 - 2 = a1 or a
This gives us
which reduces by dividing the top and bottom by 5 to
Remember that we can use letters other than a when we write algebraic terms - and that these have to be alike to cancel each other out.