Zero & Negative Exponents
Any thing raised to a zero power is equal to_____.
1
If I am multiplying numbers with the same base I should _____ the exponents
add
Using this rule means you _______ the exponent on the outside to ALL the exponents inside!
Multiply
Name ALL of the rules needed to simplify this exponent.
(xy5)8
Power Rule
What do you do with the exponents when applying the Product Rule?
Add the exponents
If a negative exponent is in the denominator it gets moved to the______________
numerator
If I am dividing numbers with the same base I Should _____ the exponents
subtract
Simplify:
(2x^2y^-3)^-3
(y^9)/(8x^6)
Name ALL of the rules needed to simplify this exponent. (x^3y^8z^6)^4*x^3y
Power Rule and Product Rule
What happens when you have 0 as the exponent.
The base becomes 1.
(x^-3y^2z^5)^-2
(x^6)/(y^4z^10)
Simplify:
(10x11)(9x-3)=
90x8
Simplify:
(x^-5y^-12)^0 *(x^-4y^-8)^0
1
Name ALL of the rules needed to simplify this exponent.
(x^3y^2*x^8y)/(x^2y^3)
Product and Quotient
What do you do with the exponents when applying the Power Rule?
Multiply the exponents
Simplify:
(x^3y^-5)^-3 * x^2
(y^15)/x^7
Simplify:
(15x2y5z6)(x11y9z3)
15x13y14z9
Simplify:
(x3y4z6)-2
1/(x^6y^8z^12)
Name ALL of the rules needed to simplify this exponent.
((2x^2y^6z)^3)/(xy^4z^2)
Power Rule and Quotient Rule
What do you do with the exponents when applying the quotient rule?
Subtract the exponents
Simplify:
x^2y^4z^-3
(x^2y^4)/z^3
Simplify:
(6a^10b^23c^9)/(2a^7b^12c^5)
3a3b11c4
Simplify:
(x^4y^3)^3 * (x^2y)^-4
x4y5
Name ALL of the rules needed to simplify this exponent. And name them in the order you would use them to solve the problem.
( (12d^2q^3r^2)/(24d^6q^4r^3))^2
Quotient Rule and Power Rule
When you have a negative exponent, what do you do to make it positive?
The base and the exponent get sent to the denominator or the numerator to become positive.