Solve sqrt[4]{2^7*3^14*5^4}

$$\sqrt[ 4 ] { 2 ^ { 7 } \cdot 3 ^ { 14 } \cdot 5 ^ { 4 } }$$

Evaluate

$$270\sqrt[4]{72}\approx 786.496670166$$

Solution Steps

Calculate 2 to the power of 7 and get 128.

$$\sqrt[4]{128\times 3^{14}\times 5^{4}}$$

Calculate 3 to the power of 14 and get 4782969.

$$\sqrt[4]{128\times 4782969\times 5^{4}}$$

Multiply 128 and 4782969 to get 612220032.

$$\sqrt[4]{612220032\times 5^{4}}$$

Calculate 5 to the power of 4 and get 625.

$$\sqrt[4]{612220032\times 625}$$

Multiply 612220032 and 625 to get 382637520000.

$$\sqrt[4]{382637520000}$$