#5
Expressions and Exponents GAP
Multiplying –
add
Divide –
subtract
Power to a
Power –
Multiply
Exponent Rules
Negative Exponents
an 
1
an
1
a

n
a
1
Calculator Trick: Plug in a number for the variables using STO
1. Number sto x or other variables
2. Type in question and enter to find a value
3. Type in answer and see which one matches
1.
2.
3.
4.
5. What is the value of x  5  y  if x = 4 and y = 2?
6.
A)
B)
C)
D)
18
22
28
36
7. Which expression is equivalent to?
2 x3 y( x 2 y  3xy 2 )?
A. 2 x5 y 2  6 x 4 y3
C. 2 x6 y 2  6 x3 y 2
B. 3x5 y 2  5x 4 y3
D. 2 x6 y  6 x3 y 3
n
Zero Power – anything
raised to the 0 is always
equal to 1
8.
9. Travis would like to buy some toys to donate
to charity. He plans to buy 9 dolls at d dollars
each, 2 toy cars at c dollars each, and 3 train
sets at t dollars each. Which expression
represents the total cost, in dollars, of these
items that Travis wants to buy?
18c8 d 9
10. Which expression is equivalent to
?
9c3 d 6
11. Which expression is equivalent to
(3x 4 )2 (5x 2 )?
Assume the denominator does not equal zero.
12.
13.
Which is equivalent to?
 5x
2
 4 x  1   7 x  2 
A )  2 x2  6 x  1
B ) 5 x 2 – 3 x – 1
C ) 5 x 2 – 3 x  3
D ) 5 x 2  11x  3
14.
15.