Question

Given $$ 4725 = 3^{a}5^{b}7^{c}, $$ find the value of $$ 2^{a}3^{b}7^{c} $$

Answer 1

Correct option is A. 504

Given,

$$4725$$

$$=3\times 3\times 3\times 5\times 5\times 7$$

$$=3^3\times 5^2\times 7$$

$$\therefore 4725=3^3\times 5^2\times 7$$

Given, $$4725=3^a\times 5^b\times 7^c$$

comparing both, we get,

$$a=3,b=2,c=1$$

Given,

$$2^{a}3^b7^c$$

$$=2^{3}3^27^1$$

$$=8\times9\times7$$

$$=504$$