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UPTET Paper 1 2016 Solved Paper

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Question : 111 of 150

Marks: +1, -0

The value of

{(\frac{1}{3})^{-1}-(\frac{1}{4})^{-1}}^{-1}

will be

$-1$
1
0
$\frac{3}{4}$

Solution:

Concept:

Use the rule

(\frac{1}{a})^{-1} = a

to simplify each term inside the curly brackets.

Explanation:

First, simplify each part:

(\frac{1}{3})^{-1} = 3

and

(\frac{1}{4})^{-1} = 4

.

Now subtract inside the braces:

3 - 4 = -1

.

Next, apply the outer exponent:

(-1)^{-1} = \frac{1}{-1} = -1

.

Answer:

The value is

-1

, which corresponds to option A.

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