Math 9th Chap 1 : Topic 1 - Maryam Publications

FBISE, NCP & NBF-aligned resources for Classes 9–12

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Math Chapter 1 : Topic 1

Indices and Radicals

1 / 18

Simplify: $\sqrt{a^{3}}$

A) $a^{3/2}$

B) $a^{3}$

C) $a^{2/3}$

D) $a^{1/2}$

2 / 18

Which expression is equal to $a^{1/2}$?

A) $a^{3}$

B) $\sqrt{a}$

C) $\frac{1}{a}$

D) $a^{2}$

3 / 18

Simplify: $\sqrt{a^{2}b^{4}}$

A) $ab^{2}$

B) $a^{2}b^{4}$

C) $a^{2}b^{2}$

D) $ab^{4}$

4 / 18

Simplify: $(a^{3})^{2/3}$

A) $a^{3}$

B) $a^{2}$

C) $a^{5}$

D) $a^{6}$

5 / 18

Which is equivalent to $\sqrt[3]{a^{6}}$?

A) $a^{4}$

B) $a^{6}$

C) $a^{3}$

D) $a^{2}$

6 / 18

Simplify: $\frac{\sqrt{a^{5}}}{\sqrt{a}}$

A) $a^{3}$

B) $a^{4}$

C) $a$

D) $a^{2}$

7 / 18

Simplify: $a^{3/2}\times a^{1/2}$

A) $a^{2}$

B) $a^{3/4}$

C) $a^{1}$

D) $a^{3}$

8 / 18

Simplify: $\sqrt{49a^{2}}$

A) $7a^{2}$

B) $14a$

C) $7a$

D) $49a$

9 / 18

Which is correct?

A) $a^{-1}=0$

B) $a^{-1}=a$

C) $a^{-1}=\frac{1}{a}$

D) $a^{-1}=a^{2}$

10 / 18

Simplify: $a^{1/3}\cdot a^{2/3}$

A) $a^{3}$

B) $a^{1/9}$

C) $a^{2}$

D) $a$

11 / 18

Simplify: $\sqrt[4]{a^{8}}$

A) $a^{8}$

B) $a^{6}$

C) $a^{4}$

D) $a^{2}$

12 / 18

Simplify: $\frac{a^{5}}{a^{2}}$

A) $a^{3}$

B) $a^{7}$

C) $a^{2}$

D) $a^{1}$

13 / 18

Simplify: $\sqrt{a}\cdot\sqrt{a^{3}}$

A) $a^{2}$

B) $a^{4}$

C) $a$

D) $a^{3}$

14 / 18

Which expression equals $\frac{1}{\sqrt{a}}$?

A) $a^{-2}$

B) $a^{2}$

C) $a^{-1/2}$

D) $a^{1/2}$

15 / 18

Simplify: $(a^{2}b^{3})^{1/2}$

A) $a^{4}b^{6}$

B) $ab^{3/2}$

C) $ab^{3}$

D) $a^{2}b^{3}$

16 / 18

Simplify: $\sqrt{a^{4}b^{2}}$

A) $ab^{2}$

B) $a^{2}b$

C) $a^{4}b$

D) $a^{2}b^{2}$

17 / 18

Simplify: $a^{2/3}\div a^{1/3}$

A) $a^{2}$

B) $a^{1/3}$

C) $a^{1/9}$

D) $a^{0}$

18 / 18

Simplify: $\sqrt[3]{a^{3}b^{6}}$

A) $ab^{6}$

B) $a^{2}b^{3}$

C) $a^{3}b^{2}$

D) $ab^{2}$

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