Solve sqrt[12]{2^6*3^15*7^9}

$$\sqrt[ 12 ] { 2 ^ { 6 } \cdot 3 ^ { 15 } \cdot 7 ^ { 9 } }$$

Evaluate

$$3\sqrt[12]{69731032896}\approx 24.029243383$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$\sqrt[12]{64\times 3^{15}\times 7^{9}}$$

Calculate 3 to the power of 15 and get 14348907.

$$\sqrt[12]{64\times 14348907\times 7^{9}}$$

Multiply 64 and 14348907 to get 918330048.

$$\sqrt[12]{918330048\times 7^{9}}$$

Calculate 7 to the power of 9 and get 40353607.

$$\sqrt[12]{918330048\times 40353607}$$

Multiply 918330048 and 40353607 to get 37057929853283136.

$$\sqrt[12]{37057929853283136}$$