Question

Express the following numbers using exponential notations:

${\displaystyle \frac{144}{875}}$

Answer 1

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

Given, ${\displaystyle \frac{144}{875}}$

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

${\displaystyle \frac{144}{875}=\frac{2\times 2\times 2\times 2\times 3\times 3}{5\times 5\times 5\times 7}=\frac{2^4\times 3^2}{5^3\times 7^1}}$