This week I learnt how to combine exponent laws. There is four laws. Multiplication, division, power of a power and the intergral exponent law.
The multiplication law is that if two numbers that have an exponent have the same base, and you need to multiply them, you can add the exponents together to simplify then do the calculations. For example: =
The division law is when you have two numbers with exponents that have the same base, and you are dividing them, then you can subtract the exponents to simplify the equation. For example: =
When doing the division law, whichever exponent is the biggest means that the base with the new exponent stays there. (Either top or bottom of the fraction.)
The power of a power law applies when there is a number with an exponent in brackets with another exponent outside of the bracket. You can multiply the two exponents together to simplify the equation. Example: =
The integral exponent law applies to numbers with negative exponents. You take the number and make it a fraction over 1 then flip the fraction around to make it positive if it’s a single number. Example: =
=
If it’s an equation (for example:
+ 3) you can just reciprocate the numbers. Example:
+ 3 =
+3