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UPTET Paper 1 Model Test 5

Section: Mathematics

Question : 100 of 150

Marks: +1, -0

Simplify:

6\div 6^{-2}+\sqrt{36}-\sqrt{144}=?

Solution:

Concept:

When a number is divided by a base with a negative exponent, the exponent flips to positive and you multiply.

Explanation:

First, simplify

6 \div 6^{-2}

. Using the rule,

6 \div 6^{-2} = 6 \times 6^{2} = 6 \times 36 = 216

Next,

\sqrt{36} = 6

and

\sqrt{144} = 12

Now combine the results:

216 + 6 - 12 = 210

The whole expression simplifies to 210.

Answer:

The correct option is D. 210.

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