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IBPS Clerk Prelims Model Paper 10

Question : 2 of 100

Marks: +1, -0

\sqrt{3^n}

= 81, then n = ?

Solution:

Concept:

Use exponent properties to equate powers with the same base.

Explanation:

Given

\sqrt{3^n}=81

Write the square root as a power:

\sqrt{3^n}=3^{n/2}

Also,

81=3^4

So,

3^{n/2}=3^4

Since the bases are equal, equate the exponents:

\frac{n}{2}=4

Thus,

n=4\times 2=8

Answer:

n=8

, so the correct option is D.

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