Vidaara.orgClass 9 · Mathematics
CodeVID-M09-01-EXP-01
Laws of Exponents — 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.
$a^m\cdot a^n=$
- A.$a^{mn}$
- B.$a^{m+n}$
- C.$a^{m-n}$
- D.$a^{m/n}$
2.
$(a^m)^n=$
- A.$a^{m+n}$
- B.$a^{mn}$
- C.$a^{m-n}$
- D.$a^n$
3.
$a^0=$
- A.$0$
- B.$1$
- C.$a$
- D.undefined
4.
$a^{-n}=$
- A.$-a^n$
- B.$\tfrac{1}{a^n}$
- C.$a^n$
- D.$0$
5.
$\dfrac{a^m}{a^n}=$
- A.$a^{mn}$
- B.$a^{m-n}$
- C.$a^{m+n}$
- D.$a^{n-m}$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Simplify $2^3\cdot2^2$.
7.
Simplify $(3^2)^2$.
8.
Evaluate $5^0$.
9.
Evaluate $2^{-3}$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Simplify $\dfrac{2^3\cdot2^4}{2^5}$.
11.
Evaluate $27^{2/3}$.
12.
Simplify $(a^2b^3)(a^3b)$.
13.
Evaluate $16^{3/4}$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Simplify $16^{3/4}\times 8^{2/3}\div 2^{2}$.
15.
Solve $3^{2x-1}=27$.
Answer Key
Section A — Multiple Choice Questions
- (B) $a^{m+n}$
- (B) $a^{mn}$
- (B) $1$
- (B) $\tfrac{1}{a^n}$
- (B) $a^{m-n}$
Section B — Short Answer (2 marks)
- $32$.
- $81$.
- $1$.
- $\tfrac18$.
Section C — Short Answer (3 marks)
- $4$.
- $9$.
- $a^5b^4$.
- $8$.
Section D — Long Answer (5 marks)
- $8$.
- $x=2$.
Generated by Vidaara.org · Assignment VID-M09-01-EXP-01 · vidaara.org