Answer:
100,000
Step-by-step explanation:
[tex] (\dfrac{10^{-2}}{10^3})^{-1} = [/tex]
When you divide powers with the same base, subtract the exponents.
[tex] = (10^{-2 - 3})^{-1} [/tex]
[tex] = (10^{-5})^{-1} [/tex]
To raise a power to a power, multiply the exponents.
[tex] = 10^{-5 \times (-1)} [/tex]
[tex] = 10^5 [/tex]
[tex] = 100,000 [/tex]
