Solve 30^2x/ysin(2*35)/98{left(frac{x{y}right)}^2}

$$\frac{ { 30 }^{ 2 } \frac{ x }{ y } \sin ( 2 \times 35 ) }{ 98 { \left( \frac{ x }{ y } \right) }^{ 2 } }$$

Evaluate

$$\frac{84572335870731747y}{9800000000000000x}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(30)} ^ {2} \frac{x}{y} 0.9396926207859083}{98 {(\frac{x}{y})} ^ {2}}$$

Calculate 30 to the power of 2 and get 900.

$$\frac{900\times \frac{x}{y}\times 0.9396926207859083}{98\times \left(\frac{x}{y}\right)^{2}}$$

Multiply 900 and 0.9396926207859083 to get 845.72335870731747.

$$\frac{845.72335870731747\times \frac{x}{y}}{98\times \left(\frac{x}{y}\right)^{2}}$$

To raise \frac{x}{y} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{845.72335870731747\times \frac{x}{y}}{98\times \frac{x^{2}}{y^{2}}}$$

Express 98\times \frac{x^{2}}{y^{2}} as a single fraction.

$$\frac{845.72335870731747\times \frac{x}{y}}{\frac{98x^{2}}{y^{2}}}$$

Divide 845.72335870731747\times \frac{x}{y} by \frac{98x^{2}}{y^{2}} by multiplying 845.72335870731747\times \frac{x}{y} by the reciprocal of \frac{98x^{2}}{y^{2}}.

$$\frac{845.72335870731747\times \frac{x}{y}y^{2}}{98x^{2}}$$

Express \frac{x}{y}y^{2} as a single fraction.

$$\frac{845.72335870731747\times \frac{xy^{2}}{y}}{98x^{2}}$$

Cancel out y in both numerator and denominator.

$$\frac{845.72335870731747xy}{98x^{2}}$$

Cancel out x in both numerator and denominator.

$$\frac{845.72335870731747y}{98x}$$

Expand

$$\frac{84572335870731747y}{9800000000000000x}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(30)} ^ {2} \frac{x}{y} 0.9396926207859083}{98 {(\frac{x}{y})} ^ {2}}$$

Calculate 30 to the power of 2 and get 900.

$$\frac{900\times \frac{x}{y}\times 0.9396926207859083}{98\times \left(\frac{x}{y}\right)^{2}}$$

Multiply 900 and 0.9396926207859083 to get 845.72335870731747.

$$\frac{845.72335870731747\times \frac{x}{y}}{98\times \left(\frac{x}{y}\right)^{2}}$$

To raise \frac{x}{y} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{845.72335870731747\times \frac{x}{y}}{98\times \frac{x^{2}}{y^{2}}}$$

Express 98\times \frac{x^{2}}{y^{2}} as a single fraction.

$$\frac{845.72335870731747\times \frac{x}{y}}{\frac{98x^{2}}{y^{2}}}$$

Divide 845.72335870731747\times \frac{x}{y} by \frac{98x^{2}}{y^{2}} by multiplying 845.72335870731747\times \frac{x}{y} by the reciprocal of \frac{98x^{2}}{y^{2}}.

$$\frac{845.72335870731747\times \frac{x}{y}y^{2}}{98x^{2}}$$

Express \frac{x}{y}y^{2} as a single fraction.

$$\frac{845.72335870731747\times \frac{xy^{2}}{y}}{98x^{2}}$$

Cancel out y in both numerator and denominator.

$$\frac{845.72335870731747xy}{98x^{2}}$$

Cancel out x in both numerator and denominator.

$$\frac{845.72335870731747y}{98x}$$