Homepage

Course Index

Build a Quiz

Subscriptions

Courses

NSW Y8 Maths

Topics

Pythagoras Working with Numbers Algebra Equations Geometry Area and Perimeter Volume Fractions and Percentages Investigating Data Congruent Figures Probability Rates and Ratios Graphing Linear Equations Time and Travel

NSW Y8 Maths Working with Numbers Index laws

Resources for Index laws

  • Questions

    10

    With Worked Solution
    Click Here
  • Video Tutorials

    1


    Click Here

Index laws Theory

When multiplying numbers with the same base, the powers are added.\\ When dividing numbers with the same base, the powers are subtracted. \begin{multicols}{2} \textbf{Example 1}\\ \(7^4 \times 7^2 =\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 7^4 \times 7^2 & =7^{4+2} \\ & =7^6 \end{aligned}\)\\ since \(7^4 \times 7^2=(7 \times 7 \times 7 \times 7) \times(7 \times 7)=7^6\) \columnbreak \textbf{Example 2}\\ \(7^4 \div 7^2= \)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 7^4 \div 7^2&=7^{4-2}\\ &=7^2 \end{aligned}\)\\ \(\begin{aligned} \text { since } 7^4 \div 7^2&=\frac{7 \times 7 \times 7 \times 7}{7 \times 7} \\ & =7 \times 7 \\ & =7^2 \end{aligned}\) \end{multicols}

Create account

I am..

Please enter your details

I agree with your terms of service




Videos

Videos relating to Index laws.

  • Index laws - Video - Laws of Indices

Plans & Pricing

With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions.

  • Teachers Tutors
    Features
    Free
    Pro
    All Content
    All courses, all topics
     
    Questions
     
    Answers
     
    Worked Solutions
    System
    Your own personal portal
     
    Quizbuilder
     
    Class Results
     
    Student Results
    Exam Revision
    Revision by Topic
     
    Practise Exams
     
    Answers
     
    Worked Solutions
  • Awesome Students
    Features
    Free
    Pro
    Content
    Any course, any topic
     
    Questions
     
    Answers
     
    Worked Solutions
    System
    Your own personal portal
     
    Basic Results
     
    Analytics
     
    Study Recommendations
    Exam Revision
    Revision by Topic
     
    Practise Exams
     
    Answers
     
    Worked Solutions