Question

How do you simplify `frac{s t^{3} u^{9} v}{s^{5} t u^{3} v^{0}}`?

Answer 1

`(t^2u^6v)/(s^4)`

Explanation:

Recall two of the laws of indices.

• When dividing, subtract the indices of like bases.
• anything to be power of 0 = 1 (except `0^0` is undefined)

`frac{s t^{3} u^{9} v}{s^{5} t u^{3} cancelv^{0}}`

=`(t^2u^6v)/(s^4)`

Answers should not be given with negative or zero indices.

So we use `1/s^4 " rather than " s^-4`