I dont understand the lesson. What is an exponent?
The exponent determines how many times the base multiplies by itself, so 4^2 is 4x4.
To start, there is a base, which is the number underneath the exponent. The exponent is the number above it
What is the Product and Quotient Rule?
Product Rule and Quotient Rule
The quotient rule states that when dividing two numbers with the same base, you subtract the exponents
The product rule states that when the base of two exponenets are the same, you keep the base, and add the exponents
What is the Power to Power Rule and the Zero Power Rule?
Power to Power Rule and Zero Power Rule
The Zero Power Rule states that anything to the power of zero is equal to one, as long the base is not zero
The Power to Power rule says that when one exponent is raised to the power of another, you multiply the exponents together.
What is the negative exponent rule and how do you convert from radical notation to exponential and vice versa?
The radicand is the base of exponeital notation. The index is the denomitar, and the exponent of the radicand is the numerator.
The negative exponent rule states that when a base has a negative exponent, the base and exponent go to the denominator. For example, 2^-3 = 1/2^3, or 1/9
What if instead of bases being the same, the exponent was the same and the exponenets were different?
Well, for multiplication, you would mutiply the bases and keep the exponent.
For division, you just divide the bases, and keep the exponents