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Solution - Power equations
(2^7*3*5^4*29*7^2)
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Step by Step Solution
Reformatting the input :
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(1): "9.8" was replaced by "(98/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)4 = (2•5)4 = 24 • 54
Equation at the end of step 1 :
348 98
(———•(103))•(——•(24•54))
100 10
Step 2 :
49
Simplify ——
5
Equation at the end of step 2 :
348 49
(——— • (103)) • (—— • (24•54))
100 5
Step 3 :
Raising to a Power :
3.1 54 divided by 51 = 5(4 - 1) = 53
Equation at the end of step 3 :
348
(——— • (103)) • (72•24•53)
100
Step 4 :
4.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 4 :
348
(——— • (23•53)) • (72•24•53)
100
Step 5 :
87
Simplify ——
25
Equation at the end of step 5 :
87
(—— • (23•53)) • (72•24•53)
25
Step 6 :
Dividing exponents :
6.1 53 divided by 52 = 5(3 - 2) = 51 = 5
Equation at the end of step 6 :
3480 • (72•24•53)
Step 7 :
Multiplying exponents :
7.1 23 multiplied by 24 = 2(3 + 4) = 27
Multiplying exponents :
7.2 51 multiplied by 53 = 5(1 + 3) = 54
Final result :
(27•3•54•29•72)
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