What is an exponent:

An exponent is a question that has a power to it. The power usually is small and is on the top right corner. This is a question where you have to multiply the number by itself as many times as the power tells it to do. The base is the bottom number. So if the base is 2 and the power is 3 then it is 2x2x2 The answer to this is 8 2×2=4×2=8. it is very simple when done like this.

What is the difference between simplifying and evaluating:

Simplifying means to not answer it but simplify to the easiest number you can get to. A simplified answer would be 7 to the power of 9. You simplify this because there is no point of doing the answer without a calculator because the number would be insanely high. So if you use common sense you can know when to simplify. Evaluating means finding a single number answer. So it means that you have to do the simplify question. All it is is taking one step further and doing the question. So if it is 2 to the power of 3 then you do 2x2x2 which equals 8. So your answer for that question will be 8.

Multiplication law:

The law for multiplication is that if the bases are the same you add the powers together and that is your answer. So if the question is 3 to the power of 5 multiplied by 3 to the power of 2= 3 to the power of 7. It is that simple to multiply exponents if the base is the same. If you want to multiply exponents with different bases you multiply the two bases and then add the powers on top. So if it is 6x 10 to the power of 6 you multiply 6 by 10 which is 60 to the power of 6. But when the powers are different of both you have to find the answer to both and then multiply them by each other. So 2 to the power of 2 x 3 to the power of 3. You find the power of both with is 4 and 27. So next you multiply them together so 4×27= 108. But you still have to think about simplifying or not.

Division law:

For division you pretty much subtract. If it is 2 to the power of 6 divided by 2 to the power of 3 you keep the base and subtract the powers so the answer is 2 to the power of 3 and the answer to that is 8. But if the bases are different you divide the bases and then subtract the powers. So 4 to the power of 6 divided by 2 to the power of 3= 2 to the power of three. 4 divided by 2 is 2 and 6-3=3. So the answer  is 2 to the power of 3.

Power of a Power Law:

This rule means that If the one of the bases does not have a power then you always add 1 because it is impossible to not have a power. The one is added because if it was not added then you would not be able to do the question. Also 0=1 because no question can be done without have full numbers.

Exponents on Variables:

An exponent on variables means that if there are letters below powers with a number behind it then you leave the number and multiply the letter the amount of times it says. So 3x to the power of 3 is really 3.x.x.x= 3x. If you have more then one variable then you do the same. Another ex.  3x to the power of 2 v to the power of 4 is really 3.x.x.v.v.v.v= 3xv. It really is pretty simple and easy to understand.