Question

How do you simplify `(16x^3)/(5y^9)*(x^5y^8)/(80x^3y)`?

Answer 1

`(x^5)/(25y^2)`

Explanation:

Simplify the numbers as for a normal fraction question. Use laws of indices to simplify the indices in the numerator and in the denominator, then simplify again for the final answer.

`(cancel16x^3)/(5y^9)*(x^5y^8)/(cancel80^5x^3y)` =

=`(x^8y^8)/(25x^3y^10`

=`(x^5)/(25y^2)`