Download Name: 1. Simplify 8 7 ∙ 83 = 2. Simplify (7 ) = 3

Name: _________________________________
Pre-Algebra – Exponents & Scientific Notation - Quiz 2 Review
1.
𝑥5
11. If 𝑥 2 = 8, then what is the value of x?
Simplify 87 ∙ 83 =
2.
Simplify (74)2 =
3.
Simplify (2x3)4 =
4.
Simplify x5 ∙ x-3 =
(3𝑥 6 )(10𝑥)
12.
Simplify
13.
Simplify ( 7 x z )
5𝑥
2 0 2
56 x
14. Jerry simplified
6
2
to 42x
14 x
2
2
5.
Simplify (5xy )(3xy ) =
6.
Simplify (-a4b)2 =
What were his errors? Explain.
______________________________
______________________________
7.
______________________________
Simplify n2 ∙ n-6 =
56 x
8.
Now, simplify
Simplify (-2m3n2)4 =
15.
9.
Write a division expression with a quotient
of 410 .
14 x
2
correctly.
Simplify using the laws of exponents:
72 ∙ 2 ∙ 75 ∙ 25
16. Simplify: y 7  y 2  y 0  y
10. What is the ? in this equation?
𝑥12
= 𝑥 25
𝑥?
17. Evaluate 10-3
Give the answer as a fraction. _________
Give the answer as a decimal. __________
18. Simplify using the laws of exponents:
4 
2 3
12𝑥 2 𝑦𝑧
28.
 7  34 
  4  52  (1)12
 
6

 4

−4𝑥 8 𝑦𝑧 3
=
29. Find the missing exponent
4𝑥 ? ∙
3𝑥 2
𝑥5
= 12𝑥 4
1
19. Simplify (2x2y)3
30. Simplify (−2𝑎3 𝑏)4
20. Which of the following is equal to 6x6?
(Choose one)
a)
b)
c)
d)
3(x2) ∙ 3(x4)
3(x3) ∙ 3(x2)
3(x3) ∙ 2(x2)
3(x2) ∙ 2(x4)
𝑥 20
31. What number should replace the letter t to
make the following problem true?
1
𝑥 5 ∙ 𝑥 𝑡 = 10
𝑥
𝑥7
21. If 𝑥 15 = 32, then what is the value of 𝑥 2 ?
32. True or false:
22.
2-5 ∙ 22 =
23. (62)9 =
24.
a.) 46 ∙ 42 = 48
55
_______________
= 14 = 4
_______________
c.) (8𝑎2 )0 = 8
_______________
b.)
5
8 2
(4a ) =
33. Convert 59,624 into scientific notation
25.
x-5 ∙ x-3 =
34. Convert 0.000867 into scientific notation
26.
27.
6−2
6−3
=
(4x8y)(-3xy5) =
35. Convert 4.76 x 105 into standard notation
36. Convert 2.95 x 10-3 into standard notation