Question

2. (64*2^5)/(2^3*16)= 3. (2^3*b^4 )/(a^2*b^2 )^3=

Answer 1

2. (64*2^5)/(2^3*16)=(2^6*2^5)/(2^3*2^4)=2^5=32 3. (2^3*b^4 )/(a^2*b^2 )^3=(2b^2)^3=2^3*b^6=8b^6

Answer 2

Starting with the first equation:

642^5 = 6432 = 2048

2^316 = 816 = 128

So, the equation becomes:

2048/128 = 16

Therefore, the solution is 16.

For the second equation:

(2^3b^4)/(a^2b^2)^3

= (2^3 * b^4) / (a^6 * b^6)

= (2^3 / a^6) * b^(4-6)

= (2^3 / a^6) * b^(-2)

= 8 / (a^6 * b^2)

Therefore, the solution is 8 / (a^6 * b^2).