Exponents
What is an exponent
how many times a number is multiplied by itself
What is a coefficient
Number multiplied by a variable
5x^2 / x^1
5x
3y^6 * 2y^2
6y^8
What is the rule for adding exponents
Like terms
What is a negative exponent
How many times a number is divided by itself
5x^6
What is the coefficient
6x^7 / 3x^4
3x^3
6x^7 * 9x^3
54^10
What is the rule for multiplying exponents
If they have the same base, add the exponents
Whats the rule for multiplying exponents (assuming same base)
Add the exponents
What is the rule for multiplying coefficients of same bases of exponents
Multiply them
5x^8 / 3x^5
(5/3)x^3
8x^-9 * 11x^12
88x^3
Whats the rule for dividing exponents
With the same base, subtract the exponents
Whats the rule for dividing exponents (assuming same base)
Subtract the exponents
What is the rule for dividing coefficients of same base of an exponent
Divide them
9x^4 / 3x^-2
3x^6
6x^7 * 7x^-8
42^x^-1
What is the rule for subtracting exponents
Multiply the group with the negative by -1, then add like terms
What is the Base of 3xy^5
Y
What can you do if the coefficients don't divide easily
Make them a fraction and multiply by base and coefficient
8x^-10 / 4x^5
2x^-15
3x^5 * -8x^-3
-24x^2
What is the rule for negative exponents
Multiply by the exponents inverse