What is the value of (2^5\times2^4\div2^6)?
Answer and explanation
Correct answer: 8
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(2^5\times2^4\div2^6=2^{5+4-6}=2^3=8\). Therefore, option B is correct. Exam tip: When the base is the same, apply the exponent laws first and then evaluate the resulting power.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(2^5\times2^4\div2^6=2^{5+4-6}=2^3=8\). Therefore, option B is correct. Exam tip: When the base is the same, apply the exponent laws first and then evaluate the resulting power.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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