Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Exponents and Powers, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. Simplify: 2⁵ × 2²
(A) 2⁷
(B) 2¹⁰
(C) 4⁷
(D) 2³
Q2. Simplify: 7⁶ ÷ 7³
(A) 7⁹
(B) 7³
(C) 7²
(D) 1³
Q3. Write 0.00045 in standard form.
(A) 4.5 × 10⁻³
(B) 45 × 10⁻⁴
(C) 4.5 × 10⁻⁴
(D) 4.5 × 10⁴
Q4. Simplify: 2³ × 2⁴
(A) 2¹²
(B) 2⁷
(C) 4⁷
(D) 2¹
Q5. Simplify: 5⁸ ÷ 5³
(A) 5¹¹
(B) 5²
(C) 1⁵
(D) 5⁵
Q6. Write 149,600,000 in standard (scientific) form.
(A) 1.496 × 10⁹
(B) 14.96 × 10⁶
(C) 1.496 × 10⁸
(D) 1.496 × 10⁷
Q7. Simplify: 2² × 2³
(A) 2⁶
(B) 2⁵
(C) 4⁵
(D) 2¹
Q8. Simplify: 7⁶ ÷ 7²
(A) 7⁴
(B) 7⁸
(C) 7³
(D) 1⁴
Q9. Write 5,600,000 in standard (scientific) form.
(A) 56 × 10⁶
(B) 5.6 × 10⁵
(C) 5.6 × 10⁶
(D) 5.6 × 10⁷
Q10. Simplify: 3⁴ × 3³
(A) 3¹²
(B) 9⁷
(C) 3¹
(D) 3⁷
Answer Key with Explanations
(A) 2⁷ — aᵐ × aⁿ = aᵐ⁺ⁿ, so the answer is 2⁷.
(B) 7³ — aᵐ ÷ aⁿ = aᵐ⁻ⁿ, so the answer is 7³.
(C) 4.5 × 10⁻⁴ — In standard form the number is written as k × 10ⁿ with 1 ≤ k < 10: 4.5 × 10⁻⁴.
(B) 2⁷ — aᵐ × aⁿ = aᵐ⁺ⁿ, so the answer is 2⁷.
(D) 5⁵ — aᵐ ÷ aⁿ = aᵐ⁻ⁿ, so the answer is 5⁵.
(C) 1.496 × 10⁸ — In standard form the number is written as k × 10ⁿ with 1 ≤ k < 10: 1.496 × 10⁸.
(B) 2⁵ — aᵐ × aⁿ = aᵐ⁺ⁿ, so the answer is 2⁵.
(A) 7⁴ — aᵐ ÷ aⁿ = aᵐ⁻ⁿ, so the answer is 7⁴.
(C) 5.6 × 10⁶ — In standard form the number is written as k × 10ⁿ with 1 ≤ k < 10: 5.6 × 10⁶.
(D) 3⁷ — aᵐ × aⁿ = aᵐ⁺ⁿ, so the answer is 3⁷.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
Free AISSEE / RMS Mock Test
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