Solve for n n=(15.9-3)÷(cos(30))*1.5

Math
n=(15.9-3)÷cos(30)⋅1.5
Subtract 3 from 15.9.
n=12.9cos(30)⋅1.5
The exact value of cos(30) is 32.
n=12.932⋅1.5
Multiply the numerator by the reciprocal of the denominator.
n=12.9(23)⋅1.5
Multiply 23 by 33.
n=12.9(23⋅33)⋅1.5
Combine and simplify the denominator.
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Multiply 23 and 33.
n=12.9(2333)⋅1.5
Raise 3 to the power of 1.
n=12.9(2333)⋅1.5
Raise 3 to the power of 1.
n=12.9(2333)⋅1.5
Use the power rule aman=am+n to combine exponents.
n=12.9(2331+1)⋅1.5
Add 1 and 1.
n=12.9(2332)⋅1.5
Rewrite 32 as 3.
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Rewrite 3 as 312.
n=12.9(23(312)2)⋅1.5
Apply the power rule and multiply exponents, (am)n=amn.
n=12.9(23312⋅2)⋅1.5
Combine 12 and 2.
n=12.9(23322)⋅1.5
Cancel the common factor of 2.
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Cancel the common factor.
n=12.9(23322)⋅1.5
Divide 1 by 1.
n=12.9(233)⋅1.5
n=12.9(233)⋅1.5
Evaluate the exponent.
n=12.9(233)⋅1.5
n=12.9(233)⋅1.5
n=12.9(233)⋅1.5
Cancel the common factor of 3.
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Factor 3 out of 12.9.
n=3(4.3)(233)⋅1.5
Cancel the common factor.
n=3⋅(4.3(233))⋅1.5
Rewrite the expression.
n=4.3(23)⋅1.5
n=4.3(23)⋅1.5
Multiply 2 by 4.3.
n=8.63⋅1.5
Multiply 8.6 by 3.
n=14.89563694⋅1.5
Multiply 14.89563694 by 1.5.
n=22.34345541
Solve for n n=(15.9-3)÷(cos(30))*1.5

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