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Question

Simplify: 

10a³b⁹ / 5a²b⁸

This question was previously asked in
UPTET 2026 Paper 2 Social Studies Question Paper (3-Jul-2026) (Shift 1)
The correct answer is

2ab

Divide the numerical coefficients: \(10 \div 5 = 2\).

Divide the powers of a using the law \(a^m/a^n = a^{m-n}\): \(a^3/a^2 = a\), and similarly \(b^9/b^8 = b\).

Combining these gives \(2ab\).

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Similar Questions

  1. What is the value of 6,435 + 2,876 ?

  2. What is the quotient of 4,368 ÷ 16 ?


Important Questions from Simplification

  1. If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then  \(\rm \frac{P}{Q}\) is equal to:

  2. The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \)  is

  3. The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:

  4. What will come in the place of question mark (?) in the given expression?

    \(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)

  5. There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?

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