Solution - Power equations
10,950
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "7.5" was replaced by "(75/10)". 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 :
345 75
(———•(103))+(——•(23•53))
100 10
Step 2 :
15
Simplify ——
2
Equation at the end of step 2 :
345 15
(——— • (103)) + (—— • (23•53))
100 2
Step 3 :
Multiplying exponents :
3.1 51 multiplied by 53 = 5(1 + 3) = 54
Raising to a Power :
3.2 23 divided by 21 = 2(3 - 1) = 22
Equation at the end of step 3 :
345
(——— • (103)) + 7500
100
Step 4 :
4.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 4 :
345
(——— • (23•53)) + 7500
100
Step 5 :
69
Simplify ——
20
Equation at the end of step 5 :
69
(—— • (23•53)) + 7500
20
Step 6 :
Dividing exponents :
6.1 23 divided by 22 = 2(3 - 2) = 21 = 2
Dividing exponents :
6.2 53 divided by 51 = 5(3 - 1) = 52
Equation at the end of step 6 :
3450 + 7500
Step 7 :
Final result :
10950
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