Exercises for Question Type 2: Applying exponents rules to simplify complex expressions

Question 1

Skill question

Simplify the expression $(2 m^{3} n^{- 1})^{2} \times (4 m^{- 2} n^{4})$ .

[3]

Question 2

Skill question

Simplify the expression $\frac{p ^{- 3} q ^{2}}{p ^{2} q ^{- 4}}$ .

[2]

Question 3

Skill question

Simplify the expression $\frac{( 2 a ^{3} b ^{2} ) ^{2} \times ( 3 a ^{- 1} b ^{4} ) ^{3}}{( 6 a ^{4} b ) ^{- 1}}$ .

[5]

Question 4

Skill question

Simplify the expression $\frac{( ( x y ^{2} z ( x ^{2} y ^{2} z ) ) ^{6} ) ^{2}}{( x ^{2} y ) ^{3} \times x y \times ( z ^{2} x y ) ^{2}} .$

[4]

Question 5

Skill question

Simplify the expression $\frac{5 x ^{- 3} y ^{2} \times x ^{4} y ^{- 5}}{10 x ^{2} y ^{- 1}}$ .

[3]

Question 6

Skill question

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

[4]

Question 7

Skill question

Simplify the expression $(\frac{3 u ^{2} v ^{- 1}}{6 u ^{- 3} v ^{2}})^{- 2}$ .

[3]

Question 8

Skill question

Simplify the expression $\frac{( p ^{2} q ^{- 3} r ) ^{3}}{( p ^{- 1} q ^{2} r ^{- 2} ) ^{2}}$ .

[4]

IB Mathematics Analysis and Approaches Question Type 2: Applying Exponents Rules to Simplify Complex Expressions Exercises