Evaluate ((6.8*10^-3)^3(2.76*10^-4-2.3*10^-4)^2)/((5+6.28-3.72+1.45)^3)

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(6.8⋅10-3)3(2.76⋅10-4-2.3⋅10-4)2(5+6.28-3.72+1.45)3
Simplify the numerator.
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Apply the product rule to 6.8⋅10-3.
6.83⋅(10-3)3(2.76⋅10-4-2.3⋅10-4)2(5+6.28-3.72+1.45)3
Subtract 2.3⋅10-4 from 2.76⋅10-4.
6.83⋅(10-3)3(0.46⋅10-4)2(5+6.28-3.72+1.45)3
Apply the product rule to 0.46⋅10-4.
6.83⋅(10-3)3⋅0.462⋅(10-4)2(5+6.28-3.72+1.45)3
Raise 6.8 to the power of 3.
314.432⋅(10-3)3⋅0.462⋅(10-4)2(5+6.28-3.72+1.45)3
Multiply the exponents in (10-3)3.
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Apply the power rule and multiply exponents, (am)n=amn.
314.432⋅10-3⋅3⋅0.462⋅(10-4)2(5+6.28-3.72+1.45)3
Multiply -3 by 3.
314.432⋅10-9⋅0.462⋅(10-4)2(5+6.28-3.72+1.45)3
314.432⋅10-9⋅0.462⋅(10-4)2(5+6.28-3.72+1.45)3
Rewrite the expression using the negative exponent rule b-n=1bn.
314.432⋅1109⋅0.462⋅(10-4)2(5+6.28-3.72+1.45)3
Raise 10 to the power of 9.
314.432⋅11000000000⋅0.462⋅(10-4)2(5+6.28-3.72+1.45)3
Raise 0.46 to the power of 2.
314.432⋅11000000000⋅0.2116⋅(10-4)2(5+6.28-3.72+1.45)3
Multiply the exponents in (10-4)2.
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Apply the power rule and multiply exponents, (am)n=amn.
314.432⋅11000000000⋅0.2116⋅10-4⋅2(5+6.28-3.72+1.45)3
Multiply -4 by 2.
314.432⋅11000000000⋅0.2116⋅10-8(5+6.28-3.72+1.45)3
314.432⋅11000000000⋅0.2116⋅10-8(5+6.28-3.72+1.45)3
Rewrite the expression using the negative exponent rule b-n=1bn.
314.432⋅11000000000⋅0.2116⋅1108(5+6.28-3.72+1.45)3
Raise 10 to the power of 8.
314.432⋅11000000000⋅0.2116⋅1100000000(5+6.28-3.72+1.45)3
314.432⋅11000000000⋅0.2116⋅1100000000(5+6.28-3.72+1.45)3
Simplify the denominator.
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Add 5 and 6.28.
314.432⋅11000000000⋅0.2116⋅1100000000(11.28-3.72+1.45)3
Subtract 3.72 from 11.28.
314.432⋅11000000000⋅0.2116⋅1100000000(7.56+1.45)3
Add 7.56 and 1.45.
314.432⋅11000000000⋅0.2116⋅11000000009.013
Raise 9.01 to the power of 3.
314.432⋅11000000000⋅0.2116⋅1100000000731.432701
314.432⋅11000000000⋅0.2116⋅1100000000731.432701
Simplify the numerator.
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Combine 314.432 and 11000000000.
314.4321000000000⋅0.21161100000000731.432701
Combine 314.4321000000000 and 0.2116.
314.432⋅0.21161000000000⋅1100000000731.432701
Multiply 314.432⋅0.21161000000000 and 1100000000.
314.432⋅0.21161000000000⋅100000000731.432701
314.432⋅0.21161000000000⋅100000000731.432701
Simplify the expression.
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Multiply 314.432 by 0.2116.
66.53381121000000000⋅100000000731.432701
Multiply 1000000000 by 100000000.
66.5338112100000000000000000731.432701
Divide 66.5338112 by 100000000000000000.
0731.432701
Divide 0 by 731.432701.
0
0
Evaluate ((6.8*10^-3)^3(2.76*10^-4-2.3*10^-4)^2)/((5+6.28-3.72+1.45)^3)

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