Solution - Simplification or other simple results
-1/(2^5*3^5)=-0.00013
Step by Step Solution
Step 1 :
1
Simplify —
6
Equation at the end of step 1 :
1
(0 - —)5
6
Step 2 :
2.1 Negative number raised to an odd power is negative
To show this we begin with (-7)5 ,a negative number raised to an odd exponent:
(-7)5 can be written as (-7)•(-7)•(-7)•(-7)•(-7)
Now, using the rule that says minus times minus is plus, (-7)5 can be written as (49)•(49)•(-7) which is a negative number.
We showed that (-7)5 is a negative number
Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 5 by any odd exponent, we proved which had to be proved
2.2 6 = 2•3 (6)5 = (2•3)5 = 25 • 35
Final result :
-1
——————— = -0.00013
(25•35)
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