Solution - Simplification or other simple results
9517/(2^18*5^19)=1.90340*10^-15
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-9" was replaced by "^(-9)". 1 more similar replacement(s)
(2): "3.1" was replaced by "(31/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)-9 = (2•5)(-9) = (2)(-9) • (5)(-9)
Equation at the end of step 1 :
614 31
(———•(10-7))•(——•((2)(-9)•(5)(-9)))
100 10
Step 2 :
31
Simplify ——
10
Equation at the end of step 2 :
614 31
(——— • (10-7)) • (—— • ((2)(-9)•(5)(-9)))
100 10
Step 3 :
Multiplying exponents :
3.1 21 multiplied by 29 = 2(1 + 9) = 210
Raising to a Power :
3.2 51 multiplied by 59 = 5(1 + 9) = 510
Equation at the end of step 3 :
614 31
(——— • (10-7)) • —————————
100 (210•510)
Step 4 :
4.1 10 = 2•5
(10)-7 = (2•5)(-7) = (2)(-7) • (5)(-7)
Equation at the end of step 4 :
614 31
(——— • ((2)(-7)•(5)(-7))) • —————————
100 (210•510)
Step 5 :
307
Simplify ———
50
Equation at the end of step 5 :
307 31
(——— • ((2)(-7)•(5)(-7))) • —————————
50 (210•510)
Step 6 :
Multiplying exponents :
6.1 21 multiplied by 27 = 2(1 + 7) = 28
Multiplying exponents :
6.2 52 multiplied by 57 = 5(2 + 7) = 59
Equation at the end of step 6 :
307 31
——————— • —————————
(28•59) (210•510)
Step 7 :
Multiplying exponents :
7.1 28 multiplied by 210 = 2(8 + 10) = 218
Multiplying exponents :
7.2 59 multiplied by 510 = 5(9 + 10) = 519
Final result :
9517
————————— = 1.90340 • 10-15
(218•519)
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