Solve y=-2.25^2/1.52*(2.25^2/1.46^2)^4

$$y = \frac { - 2.25 ^ { 2 } } { 1.52 } \cdot ( \frac { 2.25 ^ { 2 } } { 1.46 ^ { 2 } } ) ^ { 4 }$$

Solve for y

$$y = -\frac{13301026920318603515625}{125523900383129919488} = -105\frac{1.2101738008996017 \times 10^{20}}{1.2552390038312993 \times 10^{20}} \approx -105.964098309$$

Steps for Solving Linear Equation

Calculate 2.25 to the power of 2 and get 5.0625.

$$y=\frac{-5.0625}{1.52}\times \left(\frac{2.25^{2}}{1.46^{2}}\right)^{4}$$

Expand \frac{-5.0625}{1.52} by multiplying both numerator and the denominator by 10000.

$$y=\frac{-50625}{15200}\times \left(\frac{2.25^{2}}{1.46^{2}}\right)^{4}$$

Reduce the fraction \frac{-50625}{15200} to lowest terms by extracting and canceling out 25.

$$y=-\frac{2025}{608}\times \left(\frac{2.25^{2}}{1.46^{2}}\right)^{4}$$

Calculate 2.25 to the power of 2 and get 5.0625.

$$y=-\frac{2025}{608}\times \left(\frac{5.0625}{1.46^{2}}\right)^{4}$$

Calculate 1.46 to the power of 2 and get 2.1316.

$$y=-\frac{2025}{608}\times \left(\frac{5.0625}{2.1316}\right)^{4}$$

Expand \frac{5.0625}{2.1316} by multiplying both numerator and the denominator by 10000.

$$y=-\frac{2025}{608}\times \left(\frac{50625}{21316}\right)^{4}$$

Calculate \frac{50625}{21316} to the power of 4 and get \frac{6568408355712890625}{206453783524884736}.

$$y=-\frac{2025}{608}\times \frac{6568408355712890625}{206453783524884736}$$

Multiply -\frac{2025}{608} and \frac{6568408355712890625}{206453783524884736} to get -\frac{13301026920318603515625}{125523900383129919488}.

$$y=-\frac{13301026920318603515625}{125523900383129919488}$$

Assign y

$$y≔-\frac{13301026920318603515625}{125523900383129919488}$$