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Solution - Power equations
4797/(5^6*2^5)=0.00959
Other Ways to Solve:
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-7" was replaced by "^(-7)".
(2): "3.075" was replaced by "(3075/1000)". 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 :
312 3075
((———•(10-7))•————)•(24•54)
100 1000
Step 2 :
123
Simplify ———
40
Equation at the end of step 2 :
312 123
((——— • (10-7)) • ———) • (24•54)
100 40
Step 3 :
3.1 10 = 2•5
(10)-7 = (2•5)(-7) = (2)(-7) • (5)(-7)
Equation at the end of step 3 :
312 123
((——— • ((2)(-7)•(5)(-7))) • ———) • (24•54)
100 40
Step 4 :
78
Simplify ——
25
Equation at the end of step 4 :
78 123
((—— • ((2)(-7)•(5)(-7))) • ———) • (24•54)
25 40
Step 5 :
Multiplying exponents :
5.1 52 multiplied by 57 = 5(2 + 7) = 59
Dividing exponents :
5.2 21 divided by 27 = 2(1 - 7) = 2(-6) = 1/26
Equation at the end of step 5 :
39 123
(——————— • ———) • (24•54)
(59•26) 40
Step 6 :
Multiplying exponents :
6.1 59 multiplied by 51 = 5(9 + 1) = 510
Multiplying exponents :
6.2 26 multiplied by 23 = 2(6 + 3) = 29
Equation at the end of step 6 :
4797
———————— • (24•54)
(510•29)
Step 7 :
Dividing exponents :
7.1 24 divided by 29 = 2(4 - 9) = 2(-5) = 1/25
Dividing exponents :
7.2 54 divided by 510 = 5(4 - 10) = 5(-6) = 1/56
Final result :
4797
——————— = 0.00959
(56•25)
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