# Exponents, roots and logarithms

Here is a list of all of the skills that cover exponents, roots and logarithms! These skills are organised by year, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## First-year skills

- A.8 Scientific notation
- A.9 Compare numbers written in scientific notation
- I.1 Understanding exponents
- I.2 Evaluate exponents
- I.3 Solve equations with variable exponents
- I.4 Exponents with negative bases
- I.5 Exponents with decimal and fractional bases
- I.6 Evaluate numerical expressions involving exponents
- I.7 Square roots of perfect squares
- I.8 Estimate square roots
- M.11 Compound interest

## Second-year skills

- F.1 Understanding exponents
- F.2 Evaluate exponents
- F.3 Solve equations with variable exponents
- F.4 Exponents with negative bases
- F.5 Exponents with decimal and fractional bases
- F.6 Understanding negative exponents
- F.7 Evaluate negative exponents
- F.8 Multiplication with exponents
- F.9 Division with exponents
- F.10 Multiplication and division with exponents
- F.11 Power rule
- F.12 Evaluate expressions using properties of exponents
- F.13 Identify equivalent expressions involving exponents
- F.14 Square roots of perfect squares
- F.15 Positive and negative square roots
- F.16 Estimate positive and negative square roots
- F.17 Relationship between squares and square roots
- F.19 Cube roots of perfect cubes
- F.20 Estimate cube roots
- G.1 Convert between standard and scientific notation
- G.2 Compare numbers written in scientific notation
- G.3 Multiply numbers written in scientific notation
- G.4 Divide numbers written in scientific notation
- K.10 Compound interest
- W.7 Evaluate radical expressions
- BB.9 Powers of monomials
- BB.10 Square and cube roots of monomials

## Third-year skills

- A.5 Square roots
- A.6 Cube roots
- V.1 Exponents with integer bases
- V.2 Exponents with decimal and fractional bases
- V.3 Negative exponents
- V.4 Multiplication with exponents
- V.5 Division with exponents
- V.6 Multiplication and division with exponents
- V.7 Power rule
- V.8 Evaluate expressions using properties of exponents
- V.9 Identify equivalent expressions involving exponents
- W.1 Convert between standard and scientific notation
- W.2 Compare numbers written in scientific notation
- W.3 Multiply numbers written in scientific notation
- W.4 Divide numbers written in scientific notation
- X.1 Evaluate an exponential function
- X.2 Match exponential functions and graphs
- X.4 Exponential growth and decay: word problems
- Y.5 Powers of monomials
- CC.5 Exponential functions over unit intervals
- CC.6 Describe linear and exponential growth and decay
- DD.1 Simplify radical expressions
- DD.2 Simplify radical expressions with variables
- DD.3 Divide radical expressions
- DD.4 Multiply radical expressions

## Transition year skills

- A.6 Square roots
- A.7 Cube roots
- C.2 Compound interest
- H.1 Exponents with integer bases
- H.2 Exponents with decimal and fractional bases
- H.3 Negative exponents
- H.4 Multiplication with exponents
- H.5 Division with exponents
- H.6 Multiplication and division with exponents
- H.7 Power rule
- H.8 Evaluate expressions using properties of exponents
- H.9 Identify equivalent expressions involving exponents
- I.1 Convert between standard and scientific notation
- I.2 Compare numbers written in scientific notation
- I.3 Multiply numbers written in scientific notation
- I.4 Divide numbers written in scientific notation
- J.1 Evaluate an exponential function
- J.2 Match exponential functions and graphs
- J.4 Exponential growth and decay: word problems
- L.7 Powers of monomials
- O.5 Exponential functions over unit intervals
- O.6 Describe linear and exponential growth and decay
- P.1 Simplify radical expressions
- P.2 Simplify radical expressions involving fractions
- P.3 Multiply radical expressions
- P.4 Add and subtract radical expressions
- P.5 Simplify radical expressions using the distributive property
- P.6 Simplify radical expressions: mixed review

## Fifth-year skills

- B.2 Compound interest
- B.3 Continuously compounded interest
- C.1 Convert between standard and scientific notation
- C.2 Compare numbers written in scientific notation
- C.3 Multiply numbers written in scientific notation
- C.4 Divide numbers written in scientific notation
- N.1 Roots of integers
- N.2 Roots of rational numbers
- N.3 Find roots using a calculator
- N.4 Nth roots
- N.5 Simplify radical expressions with variables I
- N.6 Simplify radical expressions with variables II
- N.7 Multiply radical expressions
- N.8 Divide radical expressions
- N.9 Add and subtract radical expressions
- N.10 Simplify radical expressions using the distributive property
- N.11 Simplify radical expressions using conjugates
- N.12 Domain and range of radical functions
- N.13 Solve radical equations
- O.1 Evaluate rational exponents
- O.2 Multiplication with rational exponents
- O.3 Division with rational exponents
- O.4 Power rule
- O.5 Simplify expressions involving rational exponents I
- O.6 Simplify expressions involving rational exponents II
- R.1 Convert between exponential and logarithmic form: rational bases
- R.2 Convert between natural exponential and logarithmic form
- R.3 Convert between exponential and logarithmic form: all bases
- R.4 Evaluate logarithms
- R.5 Evaluate natural logarithms
- R.6 Change of base formula
- R.7 Identify properties of logarithms
- R.8 Product property of logarithms
- R.9 Quotient property of logarithms
- R.10 Power property of logarithms
- R.11 Properties of logarithms: mixed review
- R.12 Evaluate logarithms: mixed review
- S.1 Domain and range of exponential and logarithmic functions
- S.2 Evaluate exponential functions
- S.3 Match exponential functions and graphs
- S.4 Solve exponential equations by factorising
- S.5 Solve exponential equations using common logarithms
- S.6 Solve exponential equations using natural logarithms
- S.7 Solve logarithmic equations I
- S.8 Solve logarithmic equations II
- S.9 Identify linear and exponential functions
- S.10 Exponential functions over unit intervals
- S.11 Describe linear and exponential growth and decay
- S.12 Exponential growth and decay: word problems

## Sixth-year skills

- F.1 Domain and range of exponential and logarithmic functions
- F.2 Convert between exponential and logarithmic form
- F.3 Evaluate logarithms
- F.4 Change of base formula
- F.5 Product property of logarithms
- F.6 Quotient property of logarithms
- F.7 Power property of logarithms
- F.8 Evaluate logarithms using properties
- F.9 Solve exponential equations by factorising
- F.10 Solve exponential equations using logarithms
- F.11 Solve logarithmic equations with one logarithm
- F.12 Solve logarithmic equations with multiple logarithms
- F.13 Identify linear and exponential functions
- F.14 Exponential functions over unit intervals
- F.15 Describe linear and exponential growth and decay
- F.16 Exponential growth and decay: word problems
- F.17 Compound interest: word problems
- H.1 Roots of integers
- H.2 Roots of rational numbers
- H.3 Find roots using a calculator
- H.4 Evaluate rational exponents
- H.5 Operations with rational exponents
- H.6 Nth roots
- H.7 Simplify radical expressions with variables
- H.8 Simplify expressions involving rational exponents