Solve sqrt[3]{(64*10^5)^2*864^2*10^4/4}

$$\sqrt[ 3 ] { \frac { ( 64 \cdot 10 ^ { 5 } ) ^ { 2 } \cdot 864 ^ { 2 } \cdot 10 ^ { 4 } } { 4 } }$$

Evaluate

$$11520000\sqrt[3]{50}\approx 42440042.864337251$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$\sqrt[3]{\frac{\left(64\times 100000\right)^{2}\times 864^{2}\times 10^{4}}{4}}$$

Multiply 64 and 100000 to get 6400000.

$$\sqrt[3]{\frac{6400000^{2}\times 864^{2}\times 10^{4}}{4}}$$

Calculate 6400000 to the power of 2 and get 40960000000000.

$$\sqrt[3]{\frac{40960000000000\times 864^{2}\times 10^{4}}{4}}$$

Calculate 864 to the power of 2 and get 746496.

$$\sqrt[3]{\frac{40960000000000\times 746496\times 10^{4}}{4}}$$

Multiply 40960000000000 and 746496 to get 30576476160000000000.

$$\sqrt[3]{\frac{30576476160000000000\times 10^{4}}{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$\sqrt[3]{\frac{30576476160000000000\times 10000}{4}}$$

Multiply 30576476160000000000 and 10000 to get 305764761600000000000000.

$$\sqrt[3]{\frac{305764761600000000000000}{4}}$$

Divide 305764761600000000000000 by 4 to get 76441190400000000000000.

$$\sqrt[3]{76441190400000000000000}$$