Question

7-1 What is the quotient of 7-2? 343 O 7 O 7 O 49

Answer 1

Given:

Consider the given expression is:

$\dfrac{7^{-1}}{7^{-2}}$

To find:

The quotient of the given fraction value.

Solution:

We have,

$\dfrac{7^{-1}}{7^{-2}}$

It can be written as:

$\dfrac{7^{-1}}{7^{-2}}=7^{-1-(-2)}$            $\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]$

$\dfrac{7^{-1}}{7^{-2}}=7^{-1+2}$

$\dfrac{7^{-1}}{7^{-2}}=7^{1}$

$\dfrac{7^{-1}}{7^{-2}}=7$

Therefore, the value of the quotient is 7.

Note: Options B and C are same and both are correct.