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
To write ( bxbxbxbxbxb ) in short index form, you can group the terms. Since there are six ( b )s multiplied together, you can express it as ( b^6 ). Therefore, the short index form of ( bxbxbxbxbxb ) is ( b^6 ).
You write the numbers in the form of a table.
its called word form
360= 23 times 45
3,700,000,000,000
Index form of 9765625 is 9.765625 × 106
To write ( bxbxbxbxbxb ) in short index form, you can group the terms. Since there are six ( b )s multiplied together, you can express it as ( b^6 ). Therefore, the short index form of ( bxbxbxbxbxb ) is ( b^6 ).
You write the numbers in the form of a table.
its called word form
360= 23 times 45
Think of the "ex" in index as meaning exponent. Write the prime factorization with exponents. 216 = 23 x 33
3,700,000,000,000
In index form, 64 can be expressed as 2^6. This is because 2 raised to the power of 6 equals 64. The base, which is 2 in this case, represents the number being multiplied by itself (in this case, 2 multiplied by itself 6 times). The exponent, which is 6 in this case, represents the number of times the base is multiplied by itself.
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.
2118077 word form
"index" is the singular form - "indices" is the plural :)