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): "1.2" was replaced by "(12/10)". 2 more similar replacement(s)
Step 1 :
6
Simplify —
5
Equation at the end of step 1 :
56 6
(—— • (103)) - —
10 5
Step 2 :
2.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 2 :
56 6
(—— • (23•53)) - —
10 5
Step 3 :
28
Simplify ——
5
Equation at the end of step 3 :
28 6
(—— • (23•53)) - —
5 5
Step 4 :
Multiplying exponents :
4.1 22 multiplied by 23 = 2(2 + 3) = 25
Dividing exponents :
4.2 53 divided by 51 = 5(3 - 1) = 52
Equation at the end of step 4 :
6
5600 - —
5
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
5600 5600 • 5
5600 = ———— = ————————
1 5
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:
5600 • 5 - (6) 27994
—————————————— = —————
5 5
Final result :
27994
————— = 5598.80000
5
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