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FromTheMoon [43]
2 years ago
9

What is the quotient? 7^-4/7^-9

Mathematics
2 answers:
Scrat [10]2 years ago
5 0

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

kvv77 [185]2 years ago
4 0

Answer:

16,807

Step-by-step explanation:

\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

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