For this case we have the following expression:
[tex] \frac{10 ^ a}{10 ^ b} [/tex]
For power properties we have:
In the division, when we have the same base, the exponents are subtracted.
We then have to rewrite the expression:
[tex] \frac{10 ^ a}{10 ^ b} = 10 ^ {a-b} [/tex]
Answer:
Completing the expression we have:
[tex] \frac{10 ^ a}{10 ^ b} = 10 ^ {a-b} [/tex]