Power rules
When working with exponents, there are rules to follow to ensure your simplification is correct.
I chose power rules because it is important to understand how to use them and it makes simplifying easier
there are three types of rules for exponents Multiplication, division and Power
(A power is the coefficient, base, and exponent together)
Multiplication:
the multiplication rule is used when two or more powers are being multiplied, if so you add the exponents to find the sum.
(8⁸)
Division:
the division rule is used when two or more powers are being divided, if so you subtract the exponents to find the difference.
(x³)
Power:
The power rule is when there is an exponent outside of the bracket of the power(s). if there is you multiply all the exponents by the number outside (don’t forget that whole numbers have an invisible “1” exponent)
Generally, to solve or simplify you would need an order, although all ways lead to the right answer a good way to simplify would be:
P-M-D
(power, Multiplication, division)
The reason why it’s a good idea to start with powers are to get rid of brackets primarily
credit: https://www.mathplanet.com/education/pre-algebra/discover-fractions-and-factors/powers-and-exponents
https://www.mashupmath.com/blog/dividing-exponents-same-base-explained
https://www.google.com/url?sa=i&url=https%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D39l-MZFUEzY&psig=AOvVaw2x_CIOzDzqQK0UDAoLAzAX&ust=1676537396058000&source=images&cd=vfe&ved=0CBAQjRxqFwoTCOi939GSl_0CFQAAAAAdAAAAABAF