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What is simplified form of (2^5 \times 4^2)
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Answer and explanation
Correct answer: \(2^9\)
Write 4 as \(2^2\). Then \(2^5 \times 4^2 = 2^5 \times (2^2)^2 = 2^5 \times 2^4 = 2^{5+4}=2^9\). Therefore, option A is correct. Option B results from adding the exponents incorrectly. Exam tip: when powers with the same base are multiplied, their exponents are added.
Frequently asked questions
What is the correct answer to this question?
\(2^9\)
Why is this the correct answer?
Write 4 as \(2^2\). Then \(2^5 \times 4^2 = 2^5 \times (2^2)^2 = 2^5 \times 2^4 = 2^{5+4}=2^9\). Therefore, option A is correct. Option B results from adding the exponents incorrectly. Exam tip: when powers with the same base are multiplied, their exponents are added.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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