360= 23 times 45
23 x 33 = 216
Writing Numbers in Index FormWe know that: So, we can write 8 as 23.Likewise, 27 can be written as 33and 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 20Write 200 in simplest index form.Solution:Key Termsimplest index form
2^2 x 3 x 5
Prime numbers don't factorize; they're already prime.
360= 23 times 45
23 x 33 = 216
5x4x2x4x3x5x5x4
2^2 x 3 x 5 = 60
840 = 23 x 3 x 5 x 7
Index form of 9765625 is 9.765625 × 106
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!
Oh honey, let me break it down for you. 160 can be expressed as 2^5 * 5^1. In index form, that would be written as 2^5 * 5. So there you have it, 160 expressed as a product of prime numbers in index form. Hope that clears things up for ya!
Prime factors of 1080 are 23 33 5.
2^4 x 3 x 5
It is: 2^4 times 3^2 = 144
2^2 x 3 x 5