Week 2 – Math 10

This week in math we learnt how to deal with negative exponents. When dealing with a negative exponent you need to move it to the other side of the fraction line. Remember every number is over 1. I will first explain the simple way to do it and then explain how to deal with a negative exponent while solving a bigger problem.

Step 1: As you can see it is very simple, take the base and power and move then to the other side of the fraction line; in this case you can’t see a fraction so you have to remember there is always an invisible 1, making it one over x to the third.

Step 2: If you have a coefficient in front of the power and the base it does not move with them. You take the base and the power and move it under the coefficient.

Now for a harder problem:

Step 1:  To start with you need to put the entire problem over 1. Without changing anything in the brackets you change the exponent outside of the bracket to a positive exponent.

Step 2: Next step is to distribute the exponent by following the power law. Multiply the exponents.

 

Step 3: Next you need to take the y^-4 and move it to the top of the fraction to get rid of the negative exponent.

Step 4: You’re going to get rid of the 1 because it doesn’t change anything. And you have simplified it as much as you can.

 

And just like that now you know hoe to deal with negative exponents. Always remember every number is over 1 even if you can’t see it!