Answer:
1.Find the cube of 4
a.4
b.16
c.64
d.8
Solution:
The cube of 4 is written as 4³
[tex] {4}^{3} [/tex]
• Write in expanded form ↓
[tex]4 \times 4 \times 4[/tex]
• Multiply the numbers ↓
[tex]4 \times 4 \times 4 \\ = 16 \times 4 \\ = 64[/tex]
2.What is the value of 7⁵
a.1680
b.6107
c.16807
d.168
Solution:
[tex] {7}^{5} [/tex]
• Write in expanded form ↓
[tex]7 \times 7 \times 7 \times 7 \times 7[/tex]
• Multiply the numbers ↓
[tex]7 \times 7 \times 7 \times 7 \times 7 \\ = 49 \times 7 \times 7 \times 7 \\ = 343 \times 7 \times 7 \\ = 2401 \times 7 \\ = 16807[/tex]
3.Find the value of 8⁴
Solution:
[tex] {8}^{4} [/tex]
• Write in expanded form ↓
[tex]8 \times 8 \times 8 \times 8[/tex]
• Multiply the numbers ↓
[tex]8 \times 8 \times 8 \times 8 \\ = 64 \times 8 \times 8 \\ = 512 \times 8 \\ = 4096[/tex]
4.Find the value of 7⁵
Solution:
[tex] {7}^{5} [/tex]
• Write in expanded form ↓
[tex]7 \times 7 \times 7 \times 7 \times 7[/tex]
• Multiply the numbers ↓
[tex]7 \times 7 \times 7 \times 7 \times 7 \\ = 49 \times 7 \times 7 \times 7 \\ = 343 \times 7 \times 7 \\ = 2401 \times 7 \\ = 16807[/tex]
5.What is 5 x 5 x 5 in exponential form?
a.3⁵
b.5³
c.5⁴
d.5⁵
Solution:
[tex]5 \times 5 \times 5 = {5}^{3} [/tex]
The value of the exponent represents how many times the value is being multiplied. So, an exponent of 3 and expression of 5³ tells us that we want to multiply the value of 5, 3 times.
6.Find the value of 10⁷
Solution:
[tex] {10}^{7}= 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \\ = 100 \times 10 \times 10 \times 10 \times 10 \times 10 \\ = 1000 \times 10 \times 10 \times 10 \times 10 \\ = 10000 \times 10 \times 10 \times 10 \\ = 100000 \times 10 \times 10 \\ = 1000000 \times 10 \\ = 10000000[/tex]
7.What is the value of 5³
a.175
b.100
c.125
d.150
Solution:
[tex] {5}^{3} = 5 \times 5 \times 5 \\ = 25 \times 5 \\ = 125[/tex]
8.Find the square of 11
a.22
b.101
c.121
d.33
Solution:
The square of 11 is written as 11²
[tex] {11}^{2} = 11 \times 11 \\ = 121[/tex]
9.Find the value of 5⁶
Solution:
[tex] {5}^{6} = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \\ = 25 \times 5 \times 5 \times 5 \times 5 \\ = 125 \times 5 \times 5 \times 5 \\ = 625 \times 5 \times 5 \\ = 3125 \times 5 \\ = 15625[/tex]
10.Find the value of 6⁴
Solution :
[tex] {6}^{4} = 6 \times 6 \times 6 \times 6 \\ = 36 \times 6 \times 6 \\ = 216 \times 6 \\ = 1296[/tex]
