What is the value of \(\dfrac{2^3\times 2^4}{2^5}\) after simplification?
Answer and explanation
Correct answer: 4
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(\dfrac{2^3\times2^4}{2^5}=2^{3+4-5}=2^2=4\). Therefore, the correct answer is 4. The value 8 may result from forgetting to subtract the exponent in the denominator. Exam tip: When the bases are the same, simplify the exponents before calculating the numerical value.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(\dfrac{2^3\times2^4}{2^5}=2^{3+4-5}=2^2=4\). Therefore, the correct answer is 4. The value 8 may result from forgetting to subtract the exponent in the denominator. Exam tip: When the bases are the same, simplify the exponents before calculating the numerical value.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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