The equivalent expression is [tex]7^{2}[/tex].
We have the following expression -
[tex]\frac{7^{-3} }{7^{-5} }[/tex]
We have to find its equivalent value.
What is the equivalent expression of the following expression-
[tex]f(x, y) =\frac{A^{x} }{A^{y} }[/tex]
In order to divide two exponents with same base, we use the 'Quotient property of exponents.
The equivalent expression can be written as -
f(x, y) = [tex]A^{x} A^{-y} = A^{x-y}[/tex]
In the question given we have -
[tex]\frac{7^{-3} }{7^{-5} }[/tex]
Using the property discussed above -
[tex]7^{-3}\;7^{5}[/tex] = [tex]7^{-3+5}[/tex] = [tex]7^{2}[/tex]
Hence, the equivalent expression is [tex]7^{2}[/tex].
To solve more questions on exponents, visit the link below -
https://brainly.com/question/17173276
#SPJ5
