Solve sqrt[3]{(1.5*10^11)^3*15*365*24*60*60/365*24*60*60}

$$\sqrt[ 3 ] { \frac { ( 1.5 \times 10 ^ { 11 } ) ^ { 3 } \times 15 \times 365 \times 24 \times 60 \times 60 } { 365 \times 24 \times 60 \times 60 } }$$

Evaluate

$$150000000000\sqrt[3]{15}\approx 369931811149.570495605$$

Solution Steps

Cancel out 3\times 3\times 4\times 4\times 5\times 5\times 8\times 15\times 73 in both numerator and denominator.

$$\sqrt[3]{15\times \left(1.5\times 10^{11}\right)^{3}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\sqrt[3]{15\times \left(1.5\times 100000000000\right)^{3}}$$

Multiply 1.5 and 100000000000 to get 150000000000.

$$\sqrt[3]{15\times 150000000000^{3}}$$

Calculate 150000000000 to the power of 3 and get 3375000000000000000000000000000000.

$$\sqrt[3]{15\times 3375000000000000000000000000000000}$$

Multiply 15 and 3375000000000000000000000000000000 to get 50625000000000000000000000000000000.

$$\sqrt[3]{50625000000000000000000000000000000}$$