Vidaara.orgClass 9 · Mathematics
CodeVID-M09-20-FRC-01
Fractional & Negative Indices - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
$a^{-n}=$
- A.$-a^n$
- B.$\dfrac{1}{a^n}$
- C.$a^n$
- D.$0$
2.
$a^{1/2}=$
- A.$\sqrt a$
- B.$a^2$
- C.$2a$
- D.$\tfrac a2$
3.
$a^{m/n}=$
- A.$\sqrt[n]{a^m}$
- B.$\sqrt[m]{a^n}$
- C.$a^{mn}$
- D.$\tfrac mn a$
4.
$2^{-3}=$
- A.$-8$
- B.$\tfrac18$
- C.$8$
- D.$6$
5.
$9^{1/2}=$
- A.$3$
- B.$4.5$
- C.$81$
- D.$18$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Evaluate $3^{-2}$.
7.
Evaluate $16^{1/2}$.
8.
Evaluate $27^{1/3}$.
9.
Evaluate $8^{2/3}$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Evaluate $32^{2/5}$.
11.
Evaluate $\left(\tfrac14\right)^{-1}$.
12.
Evaluate $125^{-1/3}$.
13.
Simplify $\left(a^{1/2}\right)^4$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Evaluate $\left(\dfrac{16}{81}\right)^{-1/4}$.
15.
Simplify $\left(x^{1/2}\cdot x^{1/3}\right)^6$.
Answer Key
Section A — Multiple Choice Questions
- (B) $\dfrac{1}{a^n}$
- (A) $\sqrt a$
- (A) $\sqrt[n]{a^m}$
- (B) $\tfrac18$
- (A) $3$
Section B — Short Answer (2 marks)
- $\tfrac19$.
- $4$.
- $3$.
- $4$.
Section C — Short Answer (3 marks)
- $4$.
- $4$.
- $\tfrac15$.
- $a^2$.
Section D — Long Answer (5 marks)
- $\dfrac32$.
- $x^5$.
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