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): "1.673" was replaced by "(1673/1000)". 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 :
893 1673
(———•(102))-(————•(22•52))
100 1000
Step 2 :
1673
Simplify ————
1000
Equation at the end of step 2 :
893 1673
(——— • (102)) - (———— • (22•52))
100 1000
Step 3 :
Dividing exponents :
3.1 22 divided by 23 = 2(2 - 3) = 2(-1) = 1/21 = 1/2
Raising to a Power :
3.2 52 divided by 53 = 5(2 - 3) = 5(-1) = 1/51 = 1/5
Equation at the end of step 3 :
893 1673
(——— • (102)) - ————
100 10
Step 4 :
4.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step 4 :
893 1673
(——— • (22•52)) - ————
100 10
Step 5 :
893
Simplify ———
100
Equation at the end of step 5 :
893 1673
(——— • (22•52)) - ————
100 10
Step 6 :
Canceling Out :
6.1 Canceling out 22 as it appears on both sides of the fraction line
Canceling Out :
6.2 Canceling out 52 as it appears on both sides of the fraction line
Equation at the end of step 6 :
1673
893 - ————
10
Step 7 :
Rewriting the whole as an Equivalent Fraction :
7.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
893 893 • 10
893 = ——— = ————————
1 10
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 :
7.2 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:
893 • 10 - (1673) 7257
————————————————— = ————
10 10
Final result :
7257
———— = 725.70000
10
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