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What is result of (2^3 \times 2^4)

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Answer and explanation

Correct answer: 2^7

When powers with the same base are multiplied, their exponents are added: 2^3 × 2^4 = 2^(3+4) = 2^7. Therefore, option A is correct. Option B incorrectly multiplies the exponents, which is not the rule for multiplying like bases. Exam tip: remember a^m × a^n = a^(m+n) for multiplication of powers with the same base.

Related tags

Number SystemsExponentsLaws Of ExponentsPowersSame Base Multiplication

Frequently asked questions

What is the correct answer to this question?

2^7

Why is this the correct answer?

When powers with the same base are multiplied, their exponents are added: 2^3 × 2^4 = 2^(3+4) = 2^7. Therefore, option A is correct. Option B incorrectly multiplies the exponents, which is not the rule for multiplying like bases. Exam tip: remember a^m × a^n = a^(m+n) for multiplication of powers with the same base.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.

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