Solution - Simplification or other simple results
(2*5^3)
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "*-5" was replaced by "*(-5)".
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 :
10 • 52
Step 2 :
Multiplying exponents :
2.1 51 multiplied by 52 = 5(1 + 2) = 53
Final result :
(2•53)
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