Question

Solve for the varaiables shown in the steps simplifying the expression below:

25 ⋅ 84
16
=
25 ⋅ (2a)4
24
=
25 ⋅ 2b
24
= 2c.

a =

b =

c =

Answer 1

Given.
25×84×16=25×(2a)4×24=25×2b×24=2c
=> 33600=600×8a=600×2b=2c
=> 33600=4800a=1200b=2c ————(1)
=> 4800a=33600
=> a=33600/4800
=> a=7-----(2)

from equation (1)
1200b=33600
=> b=33600/1200
=> b=28--------(3)

from equation (1)
2c=33600
=> c=16800-------(4)

from equation (2),(3),(4)
a=7
b=28
c=16800

Answer 2

The answer is a= 3 b=12 c=13