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Solution - Power equations
(41*2^4*5^5*19*43)
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Step by Step Solution
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(1): "8.17" was replaced by "(817/100)". 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 :
205 817
(———•(105))•(———•(23•53))
100 100
Step 2 :
817
Simplify ———
100
Equation at the end of step 2 :
205 817
(——— • (105)) • (——— • (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 :
205
(——— • (105)) • 8170
100
Step 4 :
4.1 10 = 2•5
(10)5 = (2•5)5 = 25 • 55
Equation at the end of step 4 :
205
(——— • (25•55)) • 8170
100
Step 5 :
41
Simplify ——
20
Equation at the end of step 5 :
41
(—— • (25•55)) • 8170
20
Step 6 :
Dividing exponents :
6.1 25 divided by 22 = 2(5 - 2) = 23
Dividing exponents :
6.2 55 divided by 51 = 5(5 - 1) = 54
Equation at the end of step 6 :
(41•23•54) • 8170
Step 7 :
Multiplying exponents :
7.1 23 multiplied by 21 = 2(3 + 1) = 24
Multiplying exponents :
7.2 54 multiplied by 51 = 5(4 + 1) = 55
Final result :
(41•24•55•19•43)
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