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- Base
- Hey! Can you help me? I don't get anything about the rules of exponents..What even are exponents??
- Yes!! Even "4", "7" it can be any number or word
- Like "x" or "y"?
- Hahaha Of Course!! Let's start with the base. The base is the number or expression that is being multiplied
- Exponent
- So in the problem 5^2 the base would be 5 and the exponent 2?
- Ok now the exponent, this is the number on top of the base. It is the power to which it is being raised.
- You betcha! Another example can be (x+3)^4the base is (x+3) and the exponent is 4
- Also when two exponents with the same base are being divided like a^8 / a^6 you do the opposite! You substract so it would be a^2!
- Product Rule and Quotient Rule
- Ohhh yes! The product rule
- Yes! Known as the quotient rule
- Now, when the base is the same and they are being multiplied like in this problem y^3 x y^5 then you have to add the exponents so the answer would be y^7
- Power to Power Rule
- What does power to power mean?
- Good question! Well if we have (x^3)^5, the power is being raised to a power so we have to multiply the exponents together so it would be x^15 since 3x5 is 15.
- Zero exp rule and Negative exp rule
- Ohhh ok can it also be 2^-2 is the same as 1/2^2?
- so b^0 is equal to 1
- Yess!!
- Yes!! The last rule you need to know about is the negative exponent rule this means that a^-m is equal to 1/a^m
- Now a important rule you can't forget it's when a number is raised to the power of 0 is always equal to 1
- Final project!!
- Thank you, now I get it! Im an expert
- Yess Checha Is going to be proud!!!
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