Vidaara.orgClass 9 · Mathematics
CodeVID-M09-20-LAW-01
Laws of 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.
$a^m\cdot a^n=$
- A.$a^{mn}$
- B.$a^{m+n}$
- C.$a^{m-n}$
- D.$a^{m/n}$
2.
$\dfrac{a^m}{a^n}=$
- A.$a^{m+n}$
- B.$a^{m-n}$
- C.$a^{mn}$
- D.$a^{n-m}$
3.
$(a^m)^n=$
- A.$a^{m+n}$
- B.$a^{mn}$
- C.$a^{m-n}$
- D.$a^{m^n}$
4.
$a^0=$
- A.$0$
- B.$1$
- C.$a$
- D.undefined
5.
$(ab)^n=$
- A.$a^n b^n$
- B.$a^n+b^n$
- C.$(a+b)^n$
- D.$ab^n$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Simplify $2^3\times2^2$.
7.
Simplify $\dfrac{5^6}{5^4}$.
8.
Simplify $(3^2)^3$.
9.
Evaluate $7^0$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Simplify $\dfrac{x^5\cdot x^3}{x^2}$.
11.
Simplify $(2x^2)^3$.
12.
Evaluate $\dfrac{2^3\times2^4}{2^5}$.
13.
Simplify $(a^2b^3)^2$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Simplify $\dfrac{x^4\cdot x^{-2}}{x^3}$.
15.
Evaluate $\dfrac{2^5\times3^3}{2^3\times3}$.
Answer Key
Section A — Multiple Choice Questions
- (B) $a^{m+n}$
- (B) $a^{m-n}$
- (B) $a^{mn}$
- (B) $1$
- (A) $a^n b^n$
Section B — Short Answer (2 marks)
- $2^5=32$.
- $5^2=25$.
- $3^6=729$.
- $1$.
Section C — Short Answer (3 marks)
- $x^6$.
- $8x^6$.
- $2^2=4$.
- $a^4b^6$.
Section D — Long Answer (5 marks)
- $x^{-1}=\dfrac1x$.
- $36$.
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