1. Introduction to indices (exponents)
  2. Multiplication rules for indices
  3. Division rule for indices
  4. Negative indices
  5. Fractions raised to a negative index
  6. Rational (fractional) indices
  7. Simplifying terms with negative powers
  8. Expressing terms in the form axn
  9. Equations in which the power has to be found
  10. Summary of indices

Indices (or exponents) are used to write statements in shorthand where repeated multiplication is used.

Indices (or exponents) are used to write statements in shorthand where repeated multiplication is used.

For example, 6 × 6 × 6 × 6 × 6 × 6 × 6 can be written as 67

https://youtu.be/KxgN5DIPU50

In the following short tutorial I try and explain this in far more detail and introduce some algebraic methods…

https://youtu.be/Cfa7sCNxJzI

Summary Exercise


https://youtu.be/g5V71lkxpQk

Multiplication Rule (1)

In this tutorial you are shown the rules for simplifying expressions involving multiplication

https://youtu.be/wD4zqPhg-W4

Summary Exercise

https://youtu.be/OIP6TZEFezY

Multiplication Rule (2)

The next video tutorial extends the multiplication rule.

https://youtu.be/yFb8VqLq9JY

Summary Exercise


https://youtu.be/wF8lugDwS_g

Next you are shown how to handle the rules for dividing expressions containing indices.

https://youtu.be/L4tqNtofjKM

Summary Exercise


https://youtu.be/SW9nb-13V6E

Next I introduce you to negative indices which is an extension of the division rule.

https://youtu.be/BCTCXi2TFYI

Summary Exercise


https://youtu.be/AB3ARY9V0Cw

In the next video you are shown how to work with rational (fractional) indices.

https://youtu.be/_fadg_VjBMc

Summary Exercise


https://youtu.be/lwyjhepDtzU

You will need to be able to simplify terms with negative indices. Plenty of examples to try in this next video.


https://youtu.be/8P2bDYtlICo

Next you are shown how to solve equations where the unknown is a power.


https://youtu.be/UQqJo5XchKA

This is a summary of all the rules for indices or exponents.