Simplification for this expression [tex]5^{-4} / 5^{3}[/tex] is 1/[tex]5^{7}[/tex]
Answer: Option D
Explanation:
Given expression [tex]5^{-4} / 5^{3}[/tex]
In this expression shift the value [tex]5^{3}[/tex] to the numerator, we get
[tex]5^{-4} / 5^{3}=5^{-4} \times 5^{-3}[/tex]
Negative sign in [tex]5^{-3}[/tex] indicates that the value is moved to numerator
On solving the above expression we get
=[tex]5^{-4} \times 5^{-3}[/tex]
=[tex]5^{-(4+3)}[/tex]
=[tex]5^{-7}[/tex]
We can write [tex]5^{-7}[/tex] as 1/[tex]5^{7}[/tex]
Further solving of the above equation, we get 1/[tex]5^{7}[/tex]
=1/78125 =0.0000128
As per the option we get the answer as 1/[tex]5^7[/tex]
Result:
The value for the expression [tex]5^{-4} / 5^{3}[/tex]=1/[tex]5^7[/tex]
