Question

17. Mr Gupta asked two of his students to solve the expression (9a^3b^-8 ÷ 81a^-5b^2)^1/2 and write the answer on blackboard. Aryan wrote the answer as 3a^-4b^5 whereas Ayan wrote the
answer as 3b^5÷a^4. Who wrote the correct
answer?
(A) Aryan
(B) Ayan
(C) Both of them
(D) None of these​

Answer 1

Given :- Mr Gupta asked two of his students to solve the expression (9a^3b^-8 ÷ 81a^-5b^2)^1/2 and write the answer on blackboard. Aryan wrote the answer as 3a^-4b^5 whereas Ayan wrote the answer as 3b^5÷a^4. Who wrote the correct answer ?

(A) Aryan

(B) Ayan

(C) Both of them

(D) None of these

Solution :-

Solving the expression we get,

→ (9a^3b^-8 ÷ 81a^-5b^2)^1/2

→ [{9a³*b^(-8)} / {81a^(-5)*b²}]^(1/2)

→ [ a³ * a⁵ / 9 * b² * b⁸]^(1/2)

→ [a^(3 + 5) / 9 * b^(2 + 8)]^(1/2)

→ [a⁸ / 9 * b¹⁰]^(1/2)

→ a^(8 * 1/2) / (3²)^(1/2) * b^(10 * 1/2)

→ a⁴ / 3b⁵

→ a⁴ ÷ 3b⁵ .

Now,

• Aryan Answer = 3a^(-4)b⁵
• Ayan Answer = 3b⁵ ÷ a⁴ .
• Correct Answer = a⁴ ÷ 3b⁵ .

Hence, None of them wrote the correct answer.

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if a^2+ab+b^2=25

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Answer 2

Answer:

C) Both of them is answer