Question

What is the value of the expression 13−5 ? 15 115 1243 243

Answer 1

Answer: The correct option is (D) 243.

Step-by-step explanation: We are given to find the value of the following expression :

`E=(1)/(3^(-5))~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following property of exponents :

`(1)/(a^(-b))=a^b.`

Applying the above property in the given expression (i), we get

`E\\\\\\=(1)/(3^(-5))\\\\\\=3^5\\\\=3*3*3*3*3\\\\=243.`

Thus, the required value of the given expression is 243.

Option (D) is correct.