# Exponents, roots, and logarithms

See recommended skills!Here is a list of all of the skills that cover exponents, roots, and logarithms! These skills are organized by grade, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Sixth-grade skills

- D.1Write multiplication expressions using exponents
- D.2Evaluate exponents
- D.3Find the missing exponent or base
- D.4Exponents with decimal bases
- D.5Exponents with fractional bases
- D.6Understanding negative exponents
- D.7Evaluate negative exponents
- D.8Advanced exponents
- D.9Half-life and population doubling
- D.10Square roots of perfect squares
- D.11Estimate square roots
- E.1Convert between standard and scientific notation
- E.2Compare numbers written in scientific notation

## Seventh-grade skills

- A.8Scientific notation
- A.9Compare numbers written in scientific notation
- I.1Understanding exponents
- I.2Evaluate exponents
- I.3Solve equations with variable exponents
- I.4Exponents with negative bases
- I.5Exponents with decimal and fractional bases
- I.6Understanding negative exponents
- I.7Evaluate negative exponents
- I.8Evaluate numerical expressions involving exponents
- I.9Square roots of perfect squares
- I.10Estimate square roots
- M.12Compound interest

## Eighth-grade skills

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Solve equations with variable exponents
- F.4Exponents with negative bases
- F.5Exponents with decimal and fractional bases
- F.6Understanding negative exponents
- F.7Evaluate negative exponents
- F.8Multiplication with exponents
- F.9Division with exponents
- F.10Multiplication and division with exponents
- F.11Power rule
- F.12Evaluate expressions using properties of exponents
- F.13Identify equivalent expressions involving exponents
- F.14Square roots of perfect squares
- F.15Positive and negative square roots
- F.16Estimate positive and negative square roots
- F.17Relationship between squares and square roots
- F.19Cube roots of perfect cubes
- F.20Solve equations involving cubes and cube roots
- F.21Estimate cube roots
- G.1Convert between standard and scientific notation
- G.2Compare numbers written in scientific notation
- G.3Multiply numbers written in scientific notation
- G.4Divide numbers written in scientific notation
- K.11Compound interest
- V.7Evaluate radical expressions
- BB.9Powers of monomials
- BB.10Square and cube roots of monomials

## Algebra 1 skills

- A.6Square roots
- A.7Cube roots
- V.1Exponents with integer bases
- V.2Exponents with decimal and fractional bases
- V.3Negative exponents
- V.4Multiplication with exponents
- V.5Division with exponents
- V.6Multiplication and division with exponents
- V.7Power rule
- V.8Evaluate expressions using properties of exponents
- V.9Identify equivalent expressions involving exponents
- V.10Evaluate integers raised to rational exponents
- W.1Convert between standard and scientific notation
- W.2Compare numbers written in scientific notation
- W.3Multiply numbers written in scientific notation
- W.4Divide numbers written in scientific notation
- X.1Evaluate an exponential function
- X.2Match exponential functions and graphs
- X.4Domain and range of exponential functions: equations
- X.5Exponential growth and decay: word problems
- Y.5Powers of monomials
- CC.5Exponential functions over unit intervals
- CC.6Describe linear and exponential growth and decay
- EE.1Simplify radical expressions
- EE.2Simplify radical expressions involving fractions
- EE.3Multiply radical expressions
- EE.4Add and subtract radical expressions
- EE.5Simplify radical expressions using the distributive property
- EE.6Divide radical expressions
- EE.7Simplify radical expressions: mixed review
- FF.1Evaluate a radical function
- FF.3Domain and range of radical functions: equations
- FF.4Solve radical equations I
- FF.5Solve radical equations II

## Algebra 2 skills

- L.1Roots of integers
- L.2Roots of rational numbers
- L.3Find roots using a calculator
- L.4Simplify radical expressions with variables I
- L.5Simplify radical expressions with variables II
- L.6Nth roots
- L.7Multiply radical expressions
- L.8Divide radical expressions
- L.9Add and subtract radical expressions
- L.10Simplify radical expressions using the distributive property
- L.11Simplify radical expressions using conjugates
- L.12Domain and range of radical functions
- L.13Solve radical equations
- M.1Evaluate rational exponents
- M.2Multiplication with rational exponents
- M.3Division with rational exponents
- M.4Power rule
- M.5Simplify expressions involving rational exponents I
- M.6Simplify expressions involving rational exponents II
- R.1Convert between exponential and logarithmic form: rational bases
- R.2Convert between natural exponential and logarithmic form
- R.3Convert between exponential and logarithmic form: all bases
- R.4Evaluate logarithms
- R.5Evaluate natural logarithms
- R.6Change of base formula
- R.7Identify properties of logarithms
- R.8Product property of logarithms
- R.9Quotient property of logarithms
- R.10Power property of logarithms
- R.11Properties of logarithms: mixed review
- R.12Evaluate logarithms: mixed review
- S.1Domain and range of exponential and logarithmic functions
- S.2Evaluate exponential functions
- S.3Match exponential functions and graphs
- S.4Solve exponential equations using factoring
- S.5Solve exponential equations using common logarithms
- S.6Solve exponential equations using natural logarithms
- S.7Solve logarithmic equations I
- S.8Solve logarithmic equations II
- S.9Exponential functions over unit intervals
- S.10Identify linear and exponential functions
- S.11Describe linear and exponential growth and decay
- S.12Exponential growth and decay: word problems
- S.13Compound interest: word problems
- S.14Continuously compounded interest: word problems

## Precalculus skills

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

## Calculus skills

- D.1Domain and range of exponential and logarithmic functions
- D.2Convert between exponential and logarithmic form
- D.3Evaluate logarithms
- D.4Change of base formula
- D.5Product property of logarithms
- D.6Quotient property of logarithms
- D.7Power property of logarithms
- D.8Evaluate logarithms using properties
- D.9Describe linear and exponential growth and decay