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If (a\neq0) and (\frac{a^{p+4}\cdot a^{2p-1}}{a^{p+5}}=a^{8}), what is the value of (p)?
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Answer and explanation
Correct answer: (5)
The total exponent is ((p+4)+(2p-1)-(p+5)=2p-2), so (2p-2=8) and (p=5). In exams, watch signs while adding and subtracting exponents.
Frequently asked questions
What is the correct answer to this question?
(5)
Why is this the correct answer?
The total exponent is ((p+4)+(2p-1)-(p+5)=2p-2), so (2p-2=8) and (p=5). In exams, watch signs while adding and subtracting exponents.
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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