Step by Step Solution:
STEP 1:
1.1 Negative number raised to an even power is positive
For example let's look at (-7)6 , where (-7) , a negative number, is raised to 6 , an even exponent :
(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)
Now, using the rule that says minus times minus is plus, (-7)6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 76 which is positive.
We proved that (-7)6 is equal to (7)6 which is a positive number
Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved
Equation at the end of step 1:
(((((2•(a2))•(b3))•(c4))3)•32a2b2)• -b3c
STEP 2:
Equation at the end of step 2:
((((2a2 • b3) • (c4))3) • 32a2b2) • -b3c
STEP 3:
Multiplying exponential expressions :
3.1 b11 multiplied by b3 = b(11 + 3) = b14
Multiplying exponential expressions :
3.2 c12 multiplied by c1 = c(12 + 1) = c13
Final result :
( -23•32a8b14c13)
