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Nina [5.8K]
3 years ago
14

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

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

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.

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