Solve frac{3.8^4-sqrt{5}*3.2^4-(5.7*10^2+57)}{left(-(5.9right)^3}

$$\frac{ 3. { 8 }^{ 4 } - \sqrt{ 5 } \times 3. { 2 }^{ 4 } -(5.7 \times { 10 }^{ 2 } +57) }{ { \left(-(5.9 \right) }^{ 3 } }$$

Evaluate

$$\frac{48000\sqrt{5}-11661000}{205379}\approx -56.255355889$$

Solution Steps

Calculate 8 to the power of 4 and get 4096.

$$\frac{3\times 4096-\sqrt{5}\times 3\times 2^{4}-\left(5.7\times 10^{2}+57\right)}{\left(-5.9\right)^{3}}$$

Multiply 3 and 4096 to get 12288.

$$\frac{12288-\sqrt{5}\times 3\times 2^{4}-\left(5.7\times 10^{2}+57\right)}{\left(-5.9\right)^{3}}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{12288-\sqrt{5}\times 3\times 16-\left(5.7\times 10^{2}+57\right)}{\left(-5.9\right)^{3}}$$

Multiply 3 and 16 to get 48.

$$\frac{12288-\sqrt{5}\times 48-\left(5.7\times 10^{2}+57\right)}{\left(-5.9\right)^{3}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{12288-\sqrt{5}\times 48-\left(5.7\times 100+57\right)}{\left(-5.9\right)^{3}}$$

Multiply 5.7 and 100 to get 570.

$$\frac{12288-\sqrt{5}\times 48-\left(570+57\right)}{\left(-5.9\right)^{3}}$$

Add 570 and 57 to get 627.

$$\frac{12288-\sqrt{5}\times 48-627}{\left(-5.9\right)^{3}}$$

Calculate -5.9 to the power of 3 and get -205.379.

$$\frac{12288-\sqrt{5}\times 48-627}{-205.379}$$

Multiply -1 and 48 to get -48.

$$\frac{12288-48\sqrt{5}-627}{-205.379}$$

Subtract 627 from 12288 to get 11661.

$$\frac{11661-48\sqrt{5}}{-205.379}$$