Solution - Power equations
11/(5^11*2^9)=4.40000*10^-10
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-10" was replaced by "^(-10)".
(2): "4.4" was replaced by "(44/10)".
Step 1 :
1.1 10 = 2•5
(10)-10 = (2•5)(-10) = (2)(-10) • (5)(-10)
Equation at the end of step 1 :
44
—— • ((2)(-10)•(5)(-10))
10
Step 2 :
22
Simplify ——
5
Equation at the end of step 2 :
22
—— • ((2)(-10)•(5)(-10))
5
Step 3 :
Multiplying exponents :
3.1 51 multiplied by 510 = 5(1 + 10) = 511
Dividing exponents :
3.2 21 divided by 210 = 2(1 - 10) = 2(-9) = 1/29
Final result :
11
———————— = 4.40000 • 10-10
(511•29)
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