
Express 256 as a power of 2
Answer
489.6k+ views
1 likes
Hint: Divide 256 by 2. Then divide the quotient that you get by 2. Then again divide the quotient that you get by 2. Keep on doing this until finally, the quotient is 2 itself. Then write all those 2’s together in the power of 2. That will be your answer.
Complete step-by-step answer:
Let us say we want to write as a power of . Then we should first divide by and get a quotient .
Then we can write,
Then we should divide by and get a quotient .
Then we can write,
Hence, we can write as
Then we should divide by and get a quotient .
Then we can write,
Hence, we can again write as
Then we should divide by and so on.
This process should go on until finally, the quotient we get is itself.
If this process is done times till you get as a quotient. Then your answer will be
In this question,
and
So, by using the logic explained above, we can write
. . . (1)
So, the correct answer is “ ”.
Note: It is not always necessary to keep on dividing by the same number. This is the concept that we use. But if we know the powers of some numbers that we could use to simplify the question in less steps, then we can use that too. For example, in this question, after equation (1), we know that .
So we can simply further as
Or you if you know that . Then you can also simplify it as
So, we can reduce our steps if we know some shortcuts and have good knowledge of exponents. Otherwise. The logic explained in the solution will work for any number.
Complete step-by-step answer:
Let us say we want to write
Then we can write,
Then we should divide
Then we can write,
Hence, we can write
Then we should divide
Then we can write,
Hence, we can again write
Then we should divide
This process should go on until finally, the quotient we get is
If this process is done
In this question,
So, by using the logic explained above, we can write
So, the correct answer is “
Note: It is not always necessary to keep on dividing by the same number. This is the concept that we use. But if we know the powers of some numbers that we could use to simplify the question in less steps, then we can use that too. For example, in this question, after equation (1), we know that
So we can simply further as
Or you if you know that
So, we can reduce our steps if we know some shortcuts and have good knowledge of exponents. Otherwise. The logic explained in the solution will work for any number.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 8 Science: Engaging Questions & Answers for Success

Master Class 8 English: Engaging Questions & Answers for Success

Master Class 8 Social Science: Engaging Questions & Answers for Success

Master Class 8 Maths: Engaging Questions & Answers for Success

Class 8 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Economics: Engaging Questions & Answers for Success

Trending doubts
What is the southernmost point of the Indian Union class 8 social science CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

Canada has 6 different standard times Give geographical class 8 social science CBSE

The exponent of 2 in the prime factorization of 144 class 8 maths CBSE

What are biotic and abiotic resources Give some ex class 8 social science CBSE

What is the difference between rai and mustard see class 8 biology CBSE
