Answer:
1.) If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
2.) Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3.) a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4.) a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5.) a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6.) a. 52
b. 74
c. 23
d. 95
7.) a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8.) a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9.) a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10.) a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400).
Step-by-step explanation:
answers are from Penn Foster
