Download 2 ∙ 2 =

SECTION 5.4
23 ∙ 24 =
We need to __________ the __________ and __________ the __________!!
Product Rule for Exponents: If a is a real number and m and n are integers, then _______ ∙ ________ =
_____________________.
Multiply:
92 ∙ 95 =
34 ∙ 36 =
(-4)2 ∙ (-4)6 =
(-3)4(-3)5 =
Multiplying Monomials:
1. Multiply _______________.
2. Add the _______________ of the _______________ bases.
3. Write any unlike _______________ bases unchanged in the _______________.
Simplify:
5x3 ∙ 7x2 =
52 ∙ 34 =
(2x3)(5x3) =
2x3 + 5x3 =
(
)(
)(
)=
(x2)5 =
Power Raised to a Power: If a is a real number and m and n are integers, then _______________ =
_______________.
(4a)3 =
Raising a Product to a Power: If a and b are real numbers and n is an integer, then _______________ =
_______________.
Simplifying a Monomial Raised to a Power:
1. Evaluate the coefficient raised to that power.
2. Multiply each variable’s exponent by the power.
Simplify:
(3x2y3)2 =
2(x2y3)5 =
(-x2y)2 =
(-x3y2)5 =
(3x4y2z)3(yz4)5 =
(2x2y)4(2xy2)3 =
(-x5y2)3(-x2y3)2 =
Do the practice problems at the end.
Do you have any questions in regards to Section 5.4 video and homework?