Question

Express the following numbers using exponential notations:

`144/875`

Answer 1

For solving these type of questions, we use here prime factorisation method

Given, `144/875`

2	144
2	72
2	36
2	18
3	9
3	3
	1

 

5	875
5	175
5	35
7	7
	1

Using prime factorisation of 144 and 875, we have

`144/875 = (2 xx 2 xx 2 xx 2 xx 3 xx 3)/(5 xx 5 xx 5 xx 7) = (2^4 xx 3^2)/(5^3 xx 7^1)`