Solution - Simplification or other simple results
1/(2^14*5^14)=10.00000*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): "1." was replaced by "(1/1)". 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 :
1 1
(—•—)•((2)(-9)•(5)(-9))
1 1
Step 2 :
1
Simplify —
1
Equation at the end of step 2 :
1 (10-5)
(— • ——————) • ((2)(-9)•(5)(-9))
1 1
Step 3 :
3.1 10 = 2•5
(10)-5 = (2•5)(-5) = (2)(-5) • (5)(-5)
Equation at the end of step 3 :
1 ((2)(-5)•(5)(-5))
(— • —————————————————) • ((2)(-9)•(5)(-9))
1 1
Step 4 :
1
Divide ——————— by 1
(25•55)
Equation at the end of step 4 :
1 1
(— • ———————) • ((2)(-9)•(5)(-9))
1 (25•55)
Step 5 :
1
Simplify —
1
Equation at the end of step 5 :
1
(1 • ———————) • ((2)(-9)•(5)(-9))
(25•55)
Step 6 :
Multiplying exponents :
6.1 25 multiplied by 29 = 2(5 + 9) = 214
Multiplying exponents :
6.2 55 multiplied by 59 = 5(5 + 9) = 514
Final result :
1
————————— = 10.00000 • 10-15
(214•514)
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