What is the value of \((4^5-4^2)\)?
Answer and explanation
Correct answer: 1008
Compute powers: \(4^5=1024\) and \(4^2=16\), so \(1024-16=1008\). Why other options are wrong: 1024 corresponds to forgetting the subtraction step; 16 is just \(4^2\) alone; 1000 is a rounded estimate. Exam tip: factor out \(4^2\): \(4^5-4^2=4^2(4^3-1)=16(64-1)=16\times63=1008\), which helps avoid large subtraction errors.
Frequently asked questions
What is the correct answer to this question?
1008
Why is this the correct answer?
Compute powers: \(4^5=1024\) and \(4^2=16\), so \(1024-16=1008\). Why other options are wrong: 1024 corresponds to forgetting the subtraction step; 16 is just \(4^2\) alone; 1000 is a rounded estimate. Exam tip: factor out \(4^2\): \(4^5-4^2=4^2(4^3-1)=16(64-1)=16\times63=1008\), which helps avoid large subtraction errors.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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