Answer:
16,807
Step-by-step explanation:
[tex]\frac{7^4}{7^9}\\\rightarrow \frac{x^a}{x^b}=x^{a-b}\\=7^{4-9}\\=7^{-5}\\\rightarrow a^{-b}=\frac{1}{a^b}\\=\frac{1}{7^5}\\7^5=16807\\= 16807[/tex]
Answer: 16,807
Step-by-step explanation:
7^-4 = 1/7 ^ 4 = 1/2401
7^-9 = 1/7 ^ 9 = 1/40353607
1/2401 / 1/40353607 =
1/2401 x 40353607 =
16807
