Solution - Power equations
Other Ways to Solve:
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "4.5" was replaced by "(45/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step 1 :
1034 45
———— - (—— • (22•52))
1000 10
Step 2 :
9
Simplify —
2
Equation at the end of step 2 :
1034 9
———— - (— • (22•52))
1000 2
Step 3 :
Dividing exponents :
3.1 22 divided by 21 = 2(2 - 1) = 21 = 2
Equation at the end of step 3 :
1034
———— - 450
1000
Step 4 :
517
Simplify ———
500
Equation at the end of step 4 :
517
——— - 450
500
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 500 as the denominator :
450 450 • 500
450 = ——— = —————————
1 500
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
517 - (450 • 500) -224483
————————————————— = ———————
500 500
Final result :
-224483
——————— = -448.96600
500
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