Question

How do you simplify `x^ { 4} \cdot y ^ { 5} \cdot x ^ { 9} \cdot y ^ { 3}`?

Answer 1

`x^21`

Explanation:

Recall; `x^a cdot x^b = x^(a + b)`

Hence using indices..

`x^ { 4} \cdot y ^ { 5} \cdot x ^ { 9} \cdot y ^ { 3} = x^(4 + 5 + 9 + 3)`

`x^(4 + 5 + 9 + 3) = x^21`