Solution - Simplification or other simple results
99/(2^16*5^16)=9.90000*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): "9.9" was replaced by "(99/10)". 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 :
1 99
((—•(10-6))•——)•((2)(-9)•(5)(-9))
1 10
Step 2 :
99
Simplify ——
10
Equation at the end of step 2 :
1 99
((— • (10-6)) • ——) • ((2)(-9)•(5)(-9))
1 10
Step 3 :
3.1 10 = 2•5
(10)-6 = (2•5)(-6) = (2)(-6) • (5)(-6)
Equation at the end of step 3 :
1 99
((— • ((2)(-6)•(5)(-6))) • ——) • ((2)(-9)•(5)(-9))
1 10
Step 4 :
1
Simplify —
1
Equation at the end of step 4 :
99
((1 • ((2)(-6)•(5)(-6))) • ——) • ((2)(-9)•(5)(-9))
10
Step 5 :
Multiplying exponents :
5.1 26 multiplied by 21 = 2(6 + 1) = 27
Multiplying exponents :
5.2 56 multiplied by 51 = 5(6 + 1) = 57
Equation at the end of step 5 :
99
——————— • ((2)(-9)•(5)(-9))
(27•57)
Step 6 :
Multiplying exponents :
6.1 27 multiplied by 29 = 2(7 + 9) = 216
Multiplying exponents :
6.2 57 multiplied by 59 = 5(7 + 9) = 516
Final result :
99
————————— = 9.90000 • 10-15
(216•516)
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