Solve 675sqrt[3]{321.15*1*1.05/0.9*577^2*5.5^2}

$$675 \sqrt[3]{ \frac{ 321.15 \times 1 \times 1.05 }{ 0.9 \times { 577 }^{ 2 } \times { 5.5 }^{ 2 } } }$$

Evaluate

$$\frac{135\sqrt[3]{14987}\times 402844090^{\frac{2}{3}}}{80568818}\approx 22.533553076$$

Solution Steps

Multiply 321.15 and 1 to get 321.15.

$$675\sqrt[3]{\frac{321.15\times 1.05}{0.9\times 577^{2}\times 5.5^{2}}}$$

Multiply 321.15 and 1.05 to get 337.2075.

$$675\sqrt[3]{\frac{337.2075}{0.9\times 577^{2}\times 5.5^{2}}}$$

Calculate 577 to the power of 2 and get 332929.

$$675\sqrt[3]{\frac{337.2075}{0.9\times 332929\times 5.5^{2}}}$$

Multiply 0.9 and 332929 to get 299636.1.

$$675\sqrt[3]{\frac{337.2075}{299636.1\times 5.5^{2}}}$$

Calculate 5.5 to the power of 2 and get 30.25.

$$675\sqrt[3]{\frac{337.2075}{299636.1\times 30.25}}$$

Multiply 299636.1 and 30.25 to get 9063992.025.

$$675\sqrt[3]{\frac{337.2075}{9063992.025}}$$

Expand \frac{337.2075}{9063992.025} by multiplying both numerator and the denominator by 10000.

$$675\sqrt[3]{\frac{3372075}{90639920250}}$$

Reduce the fraction \frac{3372075}{90639920250} to lowest terms by extracting and canceling out 225.

$$675\sqrt[3]{\frac{14987}{402844090}}$$