Expressions like [tex]\frac{5^3}{5^7}[/tex] are said to be in index or exponent forms.
When [tex]\frac{5^3}{5^7}[/tex] is simplified, the result is: [tex]5^{-2}[/tex]
The expression is given as:
[tex]\frac{5^3}{5^7}[/tex]
Apply the following law of indices:
[tex]\frac{x^a}{x^b} = x^{a- b}[/tex]
So, we have:
[tex]\frac{5^3}{5^7} = 5^{3 - 7}[/tex]
Evaluate the exponents
[tex]\frac{5^3}{5^7} = 5^{-2}[/tex]
Hence, when [tex]\frac{5^3}{5^7}[/tex] is simplified, the result is: [tex]5^{-2}[/tex]
Read more about indices at:
https://brainly.com/question/16831464
