# Exponents, roots, and logarithms

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

- E.1Write multiplication expressions using exponents
- E.2Evaluate exponents
- E.3Exponents: solve for the variable
- E.4Exponents with decimal bases
- E.5Exponents with fractional bases
- E.6Understanding negative exponents
- E.7Evaluate negative exponents
- E.8Advanced exponents
- E.9Square roots of perfect squares
- E.10Estimate square roots
- N.1Convert between standard and scientific notation
- N.2Compare numbers written in scientific notation
- P.21Half-life and population doubling

## Seventh-grade skills

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

## Eighth-grade skills

- F.1Understanding exponents
- F.2Evaluate exponents
- F.3Exponents: solve for the variable
- 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.12Simplify expressions involving exponents
- F.13Square roots of perfect squares
- F.14Positive and negative square roots
- F.15Estimate positive and negative square roots
- F.16Relationship between squares and square roots
- F.17Evaluate variable expressions involving squares and square roots
- F.18Cube roots of perfect cubes
- F.19Estimate 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
- Z.9Powers of monomials
- Z.10Square and cube roots of monomials

## Algebra 1 skills

- A.7Square roots
- A.8Cube 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.8Simplify expressions involving exponents
- V.9Evaluate 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.3Exponential 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 by rationalizing the denominator
- EE.3Multiply radical expressions
- EE.4Add and subtract radical expressions
- EE.5Simplify radical expressions using the distributive property
- EE.6Simplify radical expressions: mixed review
- FF.1Evaluate a radical function
- FF.2Domain and range of radical functions
- FF.3Solve radical equations I
- FF.4Solve radical equations II

## Algebra 2 skills

- L.1Roots of integers
- L.2Roots of rational numbers
- L.3Find roots using a calculator
- L.4Nth roots
- L.5Simplify radical expressions with variables I
- L.6Simplify radical expressions with variables II
- 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.9Identify linear and exponential functions
- S.10Exponential functions over unit intervals
- 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.3Evaluate logarithms
- F.4Change of base formula
- F.5Product property of logarithms
- F.6Quotient property of logarithms
- F.7Power property of logarithms
- F.8Evaluate logarithms using properties
- F.9Solve exponential equations using factoring
- F.10Solve exponential equations using logarithms
- F.11Solve logarithmic equations with one logarithm
- F.12Solve logarithmic equations with multiple logarithms
- F.13Identify linear and exponential functions
- F.14Exponential functions over unit intervals
- 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.6Nth roots
- H.7Simplify radical expressions with variables
- H.8Simplify expressions involving rational exponents