Answer:
To evaluate an expression, first calculate the
powers, then multiply and divide in order from
left to right, and finally add and subtract in order
from left to right. Parentheses have preference.
example: 14 − 3
2
= 14 − 9 = 5
example: 2• 4 + 3•5 = 8 +15 = 23
example: 10 − 2 • 3
2
=10 − 2 • 9 =10 −18 = −8
example: (10 − 2) • 3
2
= 8•9 = 72
Problems 1-7: Find the value:
1. 2
3
= 5. 0
4
=
2. −2
4
= 6. (−2) 4
=
3. 4 + 2•5 = 7. 1
5
=
4. 3
2
− 2 • 3+1=
Problems 8-13: Find the value if a = −3, b = 2 ,
c = 0, d = 1, and e = −3:
8. a −e = 11. e
d
+
b
a
−
2d
e
=
9. e
2
+ (d − ab)c = 12. b
e
=
10. a −(bc − d) + e = 13. d
c
=
Step-by-step explanation:
To evaluate an expression, first calculate the
powers, then multiply and divide in order from
left to right, and finally add and subtract in order
from left to right. Parentheses have preference.
example: 14 − 3
2
= 14 − 9 = 5
example: 2• 4 + 3•5 = 8 +15 = 23
example: 10 − 2 • 3
2
=10 − 2 • 9 =10 −18 = −8
example: (10 − 2) • 3
2
= 8•9 = 72
Problems 1-7: Find the value:
1. 2
3
= 5. 0
4
=
2. −2
4
= 6. (−2) 4
=
3. 4 + 2•5 = 7. 1
5
=
4. 3
2
− 2 • 3+1=
Problems 8-13: Find the value if a = −3, b = 2 ,
c = 0, d = 1, and e = −3:
8. a −e = 11. e
d
+
b
a
−
2d
e
=
9. e
2
+ (d − ab)c = 12. b
e
=
10. a −(bc − d) + e = 13. d
c
=
