Week 2 – Math 10 – Exponent rules

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)

Powers and exponents (Pre-Algebra, Discover fractions and factors) –  Mathplanet

Multiplication:

the multiplication rule is used when two or more powers are being multiplied, if so you add the exponents to find the sum.

Multiplying Exponents Explained — Mashup Math

(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.

Free Guide: Dividing Exponents Explained — Mashup Math

(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)

Exponent Rules: The Power to Power Rule! - YouTube

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

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