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Q.

Express Question Image as a power with base 4

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a

4(Question Image)

b

2(Question Image)

c

None of these

d

Question Image 

answer is D.

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Detailed Solution

Concept-  In order to answer this question, let's look at one of the fundamental exponentiation formulas first. if Question Image then, Question Image. After that, we will express the number 16 as a power with base 4 . Then, we will be able to express Question Image easily as a power with base 4 and provide the right response to this query.
Given:
We have to express Question Image as a power with base 4 .
Now, before we proceed we should know that if Question Image. Then,
Question ImageNow, we will use the above formula to answer this question comfortably.
Now, let Question Image then, Question Image. Then, if we want to express Question Image as a power with base 4 so, we will use the formula from the equation (1). Then,
Question ImageQuestion ImageQuestion ImageNow, from the above result, we conclude that the value of Question Image will be equal to Question Image.
Thus, we can express Question Image as a power with base in the form of Question Image.
Hence, correct answer is 4) Question Image.
 
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Express as a power with base 4