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Writing and Evaluating Expressions Using Exponents
Using Order of Operations
Product of Powers
Power of a Power
Power of a Product
100
y*y*y*y*6*6*x
y
4
6
2
x = 36y
4
x
100
6+8*4
6
6+32768=32774
100
6
3
*6
5
6
3+5
=6
8
100
(5
7
)
2
5
7+2
=5
14
100
What is the power of a Product Property?
To find a power of a power, ,multiply the exponents.
200
(-5)*(-5)*(-5)
-5
3 =-125
200
(-5)
3
*(-5)
4
-125*-625=78125
200
What is wrong with this problem? 7
3
*7
5 3*4=12=7
12
you need to add the exponents instead of multiplying them. Correct answer is 7
7
200
What is wrong with this? (6
8
)
3 6
8+3
=6
11
Should have multiplied exponents because of the same base. Should be 8*3=24 6
24
200
(5*3)
4
= 5
4
3
6
300
x*y*10*10*y*x*y
x
2
y
3
10
2 =100y
3
x
2
300
what is the acronym used in the order of operations and what does it stand for?
PEMDAS. Parentheses, exponents, multiplication, division, addition and subtraction.
300
8
4
*8
2
*8
5
*8
6
*8
8
*8
0
8
4+2
=6+5=11+6=17+8=25+0=8
25
300
(5
2
x
3
)4
5
2*4
=5
8
*x
12
300
(10*3)
6
= 10
6
*3
6
400
(-8)*(-8)...(-8)=<87 times>
(-87)
87 =-3.705346856*10
78
400
11+2*4
3
+3+15*5
2
11*2*64=11+128+139 3+15*25=3+375=378 =514
400
3
5
*3
6
*3
7
*3
8
*3
9
*3
11
*3
12
*3
1
*3
0
*3
6
3
5+6
11+7=18+7=18+8=26+9=35+11=46+12=58+1=59+0=59+6+65=3
65
400
(6
3
y
5
x
7
)
9
6
3*9
=6
27 y
5*9
=45
x
7*9
=x
63 =6
27
y
45
x
63
400
What is wrong with this? (9*4)
4 =
36
4
Multiplied the numbers within the parenthesis. Correct answer would be 9
4
*4
4
500
(-8)(-8)(-8)*y*y*y*x*(-8)x*y
8
4
y
4
x
2= 4096y
4
x
2
500
10+13*7
5
+11+14*6
3
10+13*16807=10+218491=218501 =221536 11+14*216=11+3024=3035
500
4
3
*4
7
4
8
*4
10
*4
13
*4
20
*4
15
*4
1
*4*4
10
4
3+7
=10+8=18+10=28+13=41+20=61+15=76+1=77+1=78+10=88 4
88
500
(7
5
x
4
y
5
7
3
)
2
7
5*2
7
10
x
4*2
x
8
y
5*2
y
10
6
3*2
=7
6
7
10
x
8
7
6
= 7
16
x
8
y
10
500
(13*x*10)
12
13
12
*x
12
*10
12