Solution - Power equations
2,520
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "3.97" was replaced by "(397/100)". 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 :
649 397
(———•(103))-(———•(23•53))
100 100
Step 2 :
397
Simplify ———
100
Equation at the end of step 2 :
649 397
(——— • (103)) - (——— • (23•53))
100 100
Step 3 :
Dividing exponents :
3.1 23 divided by 22 = 2(3 - 2) = 21 = 2
Raising to a Power :
3.2 53 divided by 52 = 5(3 - 2) = 51 = 5
Equation at the end of step 3 :
649
(——— • (103)) - 3970
100
Step 4 :
4.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 4 :
649
(——— • (23•53)) - 3970
100
Step 5 :
649
Simplify ———
100
Equation at the end of step 5 :
649
(——— • (23•53)) - 3970
100
Step 6 :
Dividing exponents :
6.1 23 divided by 22 = 2(3 - 2) = 21 = 2
Dividing exponents :
6.2 53 divided by 52 = 5(3 - 2) = 51 = 5
Equation at the end of step 6 :
6490 - 3970
Step 7 :
Final result :
2520
How did we do?
Please leave us feedback.