Respuesta :
Answer: The required simplified value is 0.04.
Step-by-step explanation: We are given to simplify the following :
[tex]E=5^{-2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following property of exponents :
[tex]a^{-n}=\dfrac{1}{a^n}.[/tex]
The simplify of (i) is as follows :
[tex]E\\\\=5^{-2}\\\\=\dfrac{1}{5^2}\\\\=\dfrac{1}{25}\\\\=0.04.[/tex]
Thus, the required simplified value is 0.04.