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Solution - Power equations
1300/47=27.65957
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Step by Step Solution
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(1): "4.7" was replaced by "(47/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)5 = (2•5)5 = 25 • 55
Equation at the end of step 1 :
13 47
(——•(107))——•(25•55))
10( 10
Step 2 :
47
Simplify ——
10
Equation at the end of step 2 :
13 47
(—— • (107)) ÷ (—— • (25•55))
10 10
Step 3 :
Dividing exponents :
3.1 25 divided by 21 = 2(5 - 1) = 24
Raising to a Power :
3.2 55 divided by 51 = 5(5 - 1) = 54
Equation at the end of step 3 :
13
(—— • (107)) ÷ (47•24•54)
10
Step 4 :
4.1 10 = 2•5
(10)7 = (2•5)7 = 27 • 57
Equation at the end of step 4 :
13
(—— • (27•57)) ÷ (47•24•54)
10
Step 5 :
13
Simplify ——
10
Equation at the end of step 5 :
13
—— • (27•57)) ÷ (47•24•54)
10
Step 6 :
Dividing exponents :
6.1 27 divided by 21 = 2(7 - 1) = 26
Dividing exponents :
6.2 57 divided by 51 = 5(7 - 1) = 56
Equation at the end of step 6 :
Step 7 :
(13•26•56)
Simplify ——————————
(47•24•54)
Dividing exponents :
7.1 26 divided by 24 = 2(6 - 4) = 22
Dividing exponents :
7.2 56 divided by 54 = 5(6 - 4) = 52
Final result :
1300
———— = 27.65957
47
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