Exercises for Question Type 1: Applying exponent rules to simplify basic expressions

Question 1

Skill question

Simplify $(x^{2} y^{- 3}) (x^{- 5} y^{4})$ .

[2]

Question 2

Skill question

Simplify $\frac{a ^{4} b ^{2}}{a ^{6} b ^{- 1}}$ .

[2]

Question 3

Skill question

Simplify $(3 a^{2} b^{- 1})^{2}$ .

[2]

Question 4

Skill question

Simplify $\frac{5 x ^{- 2}}{2 x ^{3}}$ .

[3]

Question 5

Skill question

Simplify $\frac{( 2 x ^{2} y ^{- 3} ) ^{3}}{( 4 x ^{- 1} y ) ^{2}}$ .

[3]

Question 6

Skill question

Simplify $x^{0}$ .

[1]

Question 7

Skill question

Simplify $\frac{x ^{2} \cdot x ^{5}}{x ^{9}}$ .

[3]

Question 8

Skill question

Simplify $(2 x^{3}) (3 x^{4})$ .

[2]

Question 9

Skill question

Simplify $(\frac{2 x ^{- 1}}{y ^{2}})^{- 3}$ .

[3]

Question 10

Skill question

Simplify the following algebraic expression.

Simplify $x^{3} \cdot x^{- 7}$ .

[2]

Question 11

Skill question

Simplify $\frac{x ^{7} y ^{- 2}}{x ^{- 3} y ^{5}}$ .

[2]

Question 12

Skill question

Simplify $\frac{x ^{1/2} \cdot x ^{3/2}}{x ^{2}}$ .

[2]

IB Mathematics Applications & Interpretation Question Type 1: Applying Exponent Rules to Simplify Basic Expressions Exercises