Hey! Can you help me? I don't get anything about the rules of exponents..What even are exponents??
Hahaha Of Course!! Let's start with the base. The base is the number or expression that is being multiplied
Yes!! Even "4", "7" it can be any number or word
Like "x" or "y"?
Dia: 2
Exponents
Ok now the exponent, this is the number on top of the base, It is the power to which it is being raised.
So in the problem 5^2 the base would be 5 and the exponent 2?
You are getting it! Another example can be (x3)^4 the base is (x.3) and the exponent is 4
Dia: 3
Product Rule and 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
Ohhh yes! The product rule
Yes! Known as the quotient rule
Dia: 4
Power to Power Rule
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.
What does power to power mean?
Dia: 5
Zero exp rule and Negative exp rule
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
so b^0 is equal to 1
Ohhh ok can it also be 2^-2 is the same as 1/2^2?
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
Yess!!
Dia: 6
Final project!!
OK! now, its getting late. I will see you tomorrow.
Thank you, now I get it! Im an expert
Yess bella. now the teacher is going to be proud on you.