Solve 4/3*345sqrt{345^4}

$$\frac { 4 } { 3 } \cdot 345 \sqrt { 345 ^ { 4 } }$$

Evaluate

$$54751500$$

Solution Steps

Express 345\times \frac{4}{3} as a single fraction.

$$\frac{345\times 4}{3}\sqrt{345^{4}}$$

Multiply 345 and 4 to get 1380.

$$\frac{1380}{3}\sqrt{345^{4}}$$

Divide 1380 by 3 to get 460.

$$460\sqrt{345^{4}}$$

Calculate 345 to the power of 4 and get 14166950625.

$$460\sqrt{14166950625}$$

Calculate the square root of 14166950625 and get 119025.

$$460\times 119025$$

Multiply 460 and 119025 to get 54751500.

$$54751500$$

Factor

$$2^{2}\times 3^{2}\times 5^{3}\times 23^{3}$$