Exponent Rules
Storyboard Text
- Definition of Base
- Oh so x or 5 can be a base?
- Hello, can you help me with exponent rules?
- Yes!! Let's start off with base. Basically the base is the number that is being mutplied. It can be a number or letter.
- Exactly.
- Definition of Exponent
- What about the number that is on top of the base?
- So 4 being the base, it would be multiplied by itself 2 times?
- That’s called the exponent, it indicates the power a base is raised to. Or the amount of times the number will be multiplied by itself. Like 4^2
- Mhm!!
- Product Rule/Quotient Rule
- Oh so x^5/x^2 would be x^3?
- Then would x^2 * x^3 be x^5?
- Yes, same thing with the quotient rule. Dividing with the same base but different exponents, except instead of adding you subtract the exponents.
- Moving on to product rule, when multiplying the same base but different exponents, we must add the exponents and keep the base the same.
- Great Example!
- Power to Power Rule
- Now we have the power to power rule, where if an exponent is being raised to another exponent, we must multiply them.For instance, (x^7)^3, would be ^21 since we multiply the exponents.
- Ohhhh I see..
- Zero Exponent Rule/Negative Exponent Rule
- What about the zero exponent rule?
- I get it like 2^-8 equals 1 /2^8
- So 0^0 would be undefined and 2^0 would be 1?
- Exactly, another rule you should know is the negative exponent rule. Where a^-m is equal to 1/a^m
- The zero exponent rule is any base that is raised to the power of 0, is automatically 1. However if the base is 0, it is undefined
- Radical notation to Exponential notation.
- Next when converting radical notation to exponential notation ⁿ√am = a m/ⁿ, the index becomes the denominator of fraction of a power, and m which is the exponent, becomes the numerator.
- What about exponential notation to radical notation?
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