Question Details

What is the largest number among the following ?

Options

A

(12)-6

B

(14)-3

C

(13)-4

D

(16)-2

Show Answer

Correct Answer :

Option C

(13)-4

Solution :

The correct option is (13)-4.


To find the largest number, we can simplify each given expression using the negative exponent rule:


(ab)-n=(ba)n


Let's evaluate each option one by one:


1. First option:


(12)-6=26=64


2. Second option:


(14)-3=43=64


3. Third option:


(13)-4=34=81


4. Fourth option:


(16)-2=62=36


Comparing the simplified numerical values: 64, 64, 81, and 36.


The largest value is 81, which corresponds to (13)-4.

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