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Solution - Power equations
(7*43*2^24*5^24*173)
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Step by Step Solution
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(1): "8.65" was replaced by "(865/100)". 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 :
602 865
(———•(1023))•(———•(24•54))
100 100
Step 2 :
173
Simplify ———
20
Equation at the end of step 2 :
602 173
(——— • (1023)) • (——— • (24•54))
100 20
Step 3 :
Dividing exponents :
3.1 24 divided by 22 = 2(4 - 2) = 22
Raising to a Power :
3.2 54 divided by 51 = 5(4 - 1) = 53
Equation at the end of step 3 :
602
(——— • (1023)) • (173•22•53)
100
Step 4 :
4.1 10 = 2•5
(10)23 = (2•5)23 = 223 • 523
Equation at the end of step 4 :
602
(——— • (223•523)) • (173•22•53)
100
Step 5 :
301
Simplify ———
50
Equation at the end of step 5 :
301
(——— • (223•523)) • (173•22•53)
50
Step 6 :
Dividing exponents :
6.1 223 divided by 21 = 2(23 - 1) = 222
Dividing exponents :
6.2 523 divided by 52 = 5(23 - 2) = 521
Equation at the end of step 6 :
(7•43•222•521) • (173•22•53)
Step 7 :
Multiplying exponents :
7.1 222 multiplied by 22 = 2(22 + 2) = 224
Multiplying exponents :
7.2 521 multiplied by 53 = 5(21 + 3) = 524
Final result :
(7•43•224•524•173)
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