What is a Exponent?

A exponent is a small number that would be above a number for example  a³ it is a short way of saying a x a x a. You can re-write a exponent as a whole number by multiplying the bottom number as many times as the number on the top in this case a x a x a. Using that question again lets say a is 5. you would do 5 x 5 witch is 25 then multiplying 25 by 5 to get 125.

What is the Difference Between Evaluating and Simplifying?

Evaluating is a term that is used in math books instead of the word solve. simplifying means to fix the question make the question your working with simpler so it is easier to solve, some places you might simplify are; multiplying fractions or making your final fraction smaller. The difference between evaluating and simplifying is large because they really are super different things. Solving a question and making it smaller are two different things, but i guess if i were to try to find a common ground between the two i would have to say with both your trying to solve the question.

Multiplication Law and why it works

The multiplication law is used for multiplying numbers with exponents, first you look to see if the bottom numbers are the same if they are you can continue. the law only works if the bottom numbers are the same. next look at the top numbers and add them together to get your final answer. the bottom stays the same. this law only works if the bottom two numbers are the same.

Division law and why it works

The division law is almost the same as the multiplication law.  the bottom says the same, the only difference is you subtract the two exponents instead of the top. and again this only works if the bottom two numbers are the same.

Power of a power law and why it works

The power-law is a law that is used when you get a question like (4³)³ . in this case you need to multiply the 3 and the 3, the bottom number stays the same.

applications of exponents

Exponents are like fast/simpler ways of writing a number times itself __ times.  instead of writing 3 x 3 x 3 you can write 3³. Exponents are used

one more thing i learned about exponents

I learned that there is no shortcut when adding and subtracting exponents ,you have to solve the exponent then work with that. Its annoying but its the only way to do it.