Answer: The correct option is (D) 243.
Step-by-step explanation: We are given to find the value of the following expression :
[tex]E=\dfrac{1}{3^{-5}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following property of exponents :
[tex]\dfrac{1}{a^{-b}}=a^b.[/tex]
Applying the above property in the given expression (i), we get
[tex]E\\\\\\=\dfrac{1}{3^{-5}}\\\\\\=3^5\\\\=3\times3\times3\times3\times3\\\\=243.[/tex]
Thus, the required value of the given expression is 243.
Option (D) is correct.
