Respuesta :

Answer:

the asnwer is [tex]\frac{1}{78125\\}[/tex]

in descimal form:

1.28.10-5

Step-by-step explanation:

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]