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timurjin [86]
3 years ago
5

What is the simplified form of the expression k^3(k7/5)^-5

Mathematics
2 answers:
sukhopar [10]3 years ago
7 0

Answer:

Hello

The answer is 3125/k-32

Marizza181 [45]3 years ago
5 0
<span>k^3(k7/5)^-5 can be rewritten as (k^3) * (7k/5)^(-5) (must use parentheses around that "-5").

This would be better written as 

k^3                   k^3 * 5^5
------------ = -------------------  
(7k/5)^5       7^5 * k^5 

Then k^3 / k^5 reduces to 1 / k^2, and 5^5 / 7^5 reduces to 1 / 5^2, or 1 / 25.
 
Thus, 

the answer in simplest form is

                                      1                                               
                                -----------
                                  25k^2</span>
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