Question

5^-9 / 4^-12

Apply the Property of Negative Integer Exponents to generate an expression equivalent with positive exponents only, in a fraction in its simplest form

Answer 1

Use a^-n = 1/a^n (or equivalently 1/a^-n = a^n):

5^-9 / 4^-12 = (1/5^9) / (1/4^12) = (1/5^9) * 4^12 = 4^12 / 5^9.

(You can also write 4^12 = 2^24, so the fraction is 2^24 / 5^9.)