Respuesta :

The value of xy - 5 is 1

How to determine the value

Given the expression as;

8,575 = 5^x * 7^y,

Represented as:

[tex]8575 = 5^x * 7^y[/tex]

Let's find the prime factors of 8575

[tex]8575 = 5^2 . 7^3[/tex]

We can deduce that:

  • x has a value of 2
  • y has a value of 3

Now, let's find the value of xy - 5 by substituting the values

= xy - 5

= 2(3) - 5

= 6 - 5

= 1

Thus, the value of xy - 5 is 1

Learn more about index notation here:

https://brainly.com/question/10339517

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