C. Write the exponential forms of the given number in the blanks. Identify the Base and Exponent.
_______Exponential Form________Base________Exponent_______
1. 81 ------→ ______________ -------→ _________ -----→ ________
2. 128 ------→ ______________ -------→ _________ -----→ ________
3. 216 ------→ ______________ -------→ _________ -----→ ________
4. 3,125 ----→ ______________ -------→ _________ -----→ ________
5. 4,096 ---→ ______________ -------→ _________ -----→ ________
6. 100,000 ----→ ______________ ----→ _________ ----→ ________
Answers & Comments
Answer:
Exponential Vocabulary
We use exponential notation to write repeated multiplication, such as 10 • 10 • 10 as 103. The 10 in 103 is called the base. The 3 in 103 is called the exponent. The expression 103 is called the exponential expression.
base → 103 ←exponent
103 is read as “10 to the third power” or “10 cubed.” It means 10 • 10 • 10, or 1,000.
82 is read as “8 to the second power” or “8 squared.” It means 8 • 8, or 64.
54 is read as “5 to the fourth power.” It means 5 • 5 • 5 • 5, or 625.
b5 is read as “ b to the fifth power.” It means b • b • b • b • b. Its value will depend on the value of b.
The exponent applies only to the number that it is next to. So in the expression xy4, only the y is affected by the 4. xy4 means x • y • y • y • y.
If the exponential expression is negative, such as −34, it means –(3 • 3 • 3 • 3) or −81.
If −3 is to be the base, it must be written as (−3)4, which means −3 • −3 • −3 • −3, or 81.
Likewise, (−x)4 = (−x) • (−x) • (−x) • (−x) = x4, while −x4 = –(x • x • x • x).
You can see that there is quite a difference, so you have to be very care
Step-by-step explanation:
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