Question

Q12. 2⁸ *3⁶ is divisible by. (a) 2⁷*3⁷ (b) 2⁶*3⁵ (c) 2⁴*3⁷ (d) 2⁵*3⁸​

Answer 1

Step-by-step explanation:

a) (2^7*3^7)/(2^8*3^6)

=2^7*2^(-8)*3^7*3^(-6)

=2^(7-8)*3^(7-6)

=2^(-1)*3^(1)

=3/2

b)2^6*3^5/(2^8*3^6)

=2^6*3^5*2^(-8)*3^(-6)

=2^(6-8)*3^(5-6)

=2^(-2)*3^(-1)

=1/(2^2*3)

=1/12

c)2^4*3^7/(2^8*3^6)

=2^4*2^(-8)*3^7*3^(-6)

=2^(-4)*3^(1)

=3/2^4

=3/16

d)2^5*3^8/(2^8*3^6)

=2^5*2^(-8)*3^8*3^(-6)

=2^(-3)*3^(2)

=(3^2)/2^3

=9/8