What is the value of (2^5 \times 2^3)?
Answer and explanation
Correct answer: 256
When powers with the same base are multiplied, their exponents are added: \(2^5 \times 2^3 = 2^{5+3} = 2^8 = 256\). Therefore, 256 is correct. 128 equals \(2^7\), so it does not result from adding the exponents correctly. Exam tip: add exponents when multiplying like bases; subtract them when dividing.
Frequently asked questions
What is the correct answer to this question?
256
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(2^5 \times 2^3 = 2^{5+3} = 2^8 = 256\). Therefore, 256 is correct. 128 equals \(2^7\), so it does not result from adding the exponents correctly. Exam tip: add exponents when multiplying like bases; subtract them when dividing.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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