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Solution - Power equations
4,150
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Step by Step Solution
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(1): "3.5" was replaced by "(35/10)". 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 :
38 35
(——•(103))+(——•(22•52))
10 10
Step 2 :
7
Simplify —
2
Equation at the end of step 2 :
38 7
(—— • (103)) + (— • (22•52))
10 2
Step 3 :
Raising to a Power :
3.1 22 divided by 21 = 2(2 - 1) = 21 = 2
Equation at the end of step 3 :
38
(—— • (103)) + 350
10
Step 4 :
4.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 4 :
38
(—— • (23•53)) + 350
10
Step 5 :
19
Simplify ——
5
Equation at the end of step 5 :
19
(—— • (23•53)) + 350
5
Step 6 :
Dividing exponents :
6.1 53 divided by 51 = 5(3 - 1) = 52
Equation at the end of step 6 :
3800 + 350
Step 7 :
Final result :
4150
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