Answer:
The answer is
[tex] {y}^{6} [/tex]
Step-by-step explanation:
[tex] \frac{ {y}^{ - 7} }{ {y}^{ - 13} } [/tex]
To solve the expression we use the rules of indices
Since the bases are the same and are dividing we subtract the exponents
That's
[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]
So we have
[tex] \frac{ {y}^{ - 7} }{ {y}^{ - 13} } = {y}^{ - 7 - - 13} = {y}^{ - 7 + 13} [/tex]
We have the final answer as
[tex] {y}^{6} [/tex]
Hope this helps you
