Solution - Simplification or other simple results
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-4" was replaced by "^(-4)". 1 more similar replacement(s)
Step 1 :
Equation at the end of step 1 :
Step 2 :
2.1 Raising to a negative exponent Raising a number to a negative exponent means 1 over that same number but now with a positive exponent. For example, x(-2) is equal to 1/x(2) 2.2 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
2.3 8 = 23 (-8)-2 = (23)(-2) = (2)(-6)
Equation at the end of step 2 :
Step 3 :
1
Divide —— by (3)(-4)
26
3.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
1 1 1 34 —— ÷ —— = —— • —— 26 34 26 1
Final result :
81
—— = 1.26562
64
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