Powers and Exponents
This chapter explores the use of exponents in mathematical expressions.
On you calculator there should be an ^ button. Take your base and press your ^ button and then press the exponent number on your calculator the you should have the answer. That is how you calculate powers.
![Picture](/uploads/2/8/6/5/28654915/3497058.png)
Powers and Exponents are made up of a base and an exponent. The whole equation is called a power. In other words, the base is the Big number and the exponent is the Little number.
![Picture](/uploads/2/8/6/5/28654915/8340331.png)
-The base is the number you multiply by itself in a power
-The exponent is the number of times you multiply the base in a power
-Exponential from: shorter way of writing repeated multiplication using a base and exponents.
-The exponent is the number of times you multiply the base in a power
-Exponential from: shorter way of writing repeated multiplication using a base and exponents.
![Picture](/uploads/2/8/6/5/28654915/3879311.png)
Negative numbers
If the (-) (negative symbol) is in the brackets, then calculate it into the equation. But if the (-) (negative symbol) is out of the equation then don't calculate it just put it right into the answer.
Brackets
If there is an exponent outside of a bracket then the exponent applies to all to the numbers inside of the brackets. Even if there is an exponent inside to, like this: (23 x 46)7 : the 23 turns into an 8, the 46 turns into an 4096. Then you times those numbers together and take that numbers and go ^7 to it, and it gives you a Huge number.
If the (-) (negative symbol) is in the brackets, then calculate it into the equation. But if the (-) (negative symbol) is out of the equation then don't calculate it just put it right into the answer.
Brackets
If there is an exponent outside of a bracket then the exponent applies to all to the numbers inside of the brackets. Even if there is an exponent inside to, like this: (23 x 46)7 : the 23 turns into an 8, the 46 turns into an 4096. Then you times those numbers together and take that numbers and go ^7 to it, and it gives you a Huge number.
![Picture](/uploads/2/8/6/5/28654915/3356197.png)
If the power has an exponents that is 1 then the answer is what ever the base number is.
Multiplying, Dividing, Adding, and Subtracting
![Picture](/uploads/2/8/6/5/28654915/1400168245.png)
Multiplying: When the base is the same, add the exponents then get answer,don't multiply the exponents. If the bases aren't the same, then your can't combined them.
Dividing: When the base is the same, subtract eh exponents, then get answer, don't divide exponents. If the bases aren't the same, then you can't combined them.
Dividing: When the base is the same, subtract eh exponents, then get answer, don't divide exponents. If the bases aren't the same, then you can't combined them.
Rules for Exponents.
-Only whole number exponents
-Only whole number exponents