Answer:
We know that:
2 cubed is 8
So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
In index form, 200 is 2 cubed times 5 squared
Key Term
simplest index formWe know that:
2 cubed is 8
So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
In index form, 200 is 2 cubed times 5 squared
Key Term
simplest index formWe know that:
2 cubed is 8
So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
In index form, 200 is 2 cubed times 5 squared
Key Term
simplest index formWe know that:
2 cubed is 8
So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
In index form, 200 is 2 cubed times 5 squared
Key Term
simplest index formWe know that:
2 cubed is 8
So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
In index form, 200 is 2 cubed times 5 squared
Key Term
simplest index formWe know that:
2 cubed is 8
So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
In index form, 200 is 2 cubed times 5 squared
Key Term
simplest index formWe know that:
2 cubed is 8
So, we can write 8 as 23.
Likewise, 27 can be written as 33
and 125 can be written as 53.
So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.
Example 20
Write 200 in simplest index form.
Solution:
In index form, 200 is 2 cubed times 5 squared
Key Term
simplest index form
Explanation: