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:
Key Term
simplest index form
You write the numbers in the form of a table.
its called word form
360= 23 times 45
3,700,000,000,000
23 x 33 = 216
Index form of 9765625 is 9.765625 × 106
You write the numbers in the form of a table.
its called word form
360= 23 times 45
3,700,000,000,000
Think of the "ex" in index as meaning exponent. Write the prime factorization with exponents. 216 = 23 x 33
You can write index in Hindi as "सूची" (pronounced as "soochi").
Writing numbers in standard form is writing numbers regular. For example One million in standard form is 1,000,000.
"index" is the singular form - "indices" is the plural :)
2118077 word form
Ah, index form is a way to write numbers using exponents. So, if we want to write 64 in index form, we can express it as 2^6. Isn't that just lovely? It's like a little mathematical painting on canvas!
23 x 33 = 216