Question

please, explain ,answer is 7.

Answer 1

Here,

$1800 = 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: =2 {}^{3} \times 3 {}^{2} \times 5 {}^{2}$

Now,


$1800 = 2 {}^{a} \times 3 {}^{b} \times 5 {}^{c} \\ = > 2 {}^{3} \times 3 {}^{2} \times 5 {}^{2} = 2 {}^{a} \times 3 {}^{b} \times 5 {}^{c} \\ = > 3 + 2 + 2 = a + b + c \\ = > 7 = a + b +c \\ = > a + b + c = 7$