Question

The product of first five positive even numbers is in the form${2}^{a}. {3}^{b}. {5}^{c}$then find values of a,b and c.

Answer 1

Step-by-step explanation:

first 5 +ve even numbers are 2,4,6,8,10

=> 2*4*6*8*10 = 2^a*3^b*5^c

=> 2*2*2*2*3*2³*2*5 = 2^a * 3^b * 5^c

=> 2^8 * 3¹ * 5¹ = 2^a * 3^b * 5^c

=> a=8 , b=1 , c=1