Solution - Power equations
703-5780
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "5.78" was replaced by "(578/100)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 1 :
703 578
(———•(104))-(———•(23•53))
100 100
Step 2 :
289
Simplify ———
50
Equation at the end of step 2 :
703 289
(——— • (104)) - (——— • (23•53))
100 50
Step 3 :
Dividing exponents :
3.1 23 divided by 21 = 2(3 - 1) = 22
Raising to a Power :
3.2 53 divided by 52 = 5(3 - 2) = 51 = 5
Equation at the end of step 3 :
703
(——— • (104)) - 5780
100
Step 4 :
4.1 10 = 2•5
(10)4 = (2•5)4 = 24 • 54
Equation at the end of step 4 :
703
(——— • (24•54)) - 5780
100
Step 5 :
703
Simplify ———
100
Equation at the end of step 5 :
703
(——— • (24•54)) - 5780
100
Step 6 :
Dividing exponents :
6.1 24 divided by 22 = 2(4 - 2) = 22
Dividing exponents :
6.2 54 divided by 52 = 5(4 - 2) = 52
Equation at the end of step 6 :
(19•37•22•52) - 5780
Step 7 :
Final result :
703 - 5780
How did we do?
Please leave us feedback.