Solve sqrt{7^27^}sqrt{74}

$$\sqrt{ { 7 }^{ { 27 }^{ } } } \sqrt{ 74 }$$

Evaluate

$$96889010407\sqrt{518}\approx 2.205156415 \cdot 10^{12}$$

Solution Steps

Calculate 27 to the power of 1 and get 27.

$$\sqrt{7^{27}}\sqrt{74}$$

Calculate 7 to the power of 27 and get 65712362363534280139543.

$$\sqrt{65712362363534280139543}\sqrt{74}$$

Factor 65712362363534280139543=96889010407^{2}\times 7. Rewrite the square root of the product \sqrt{96889010407^{2}\times 7} as the product of square roots \sqrt{96889010407^{2}}\sqrt{7}. Take the square root of 96889010407^{2}.

$$96889010407\sqrt{7}\sqrt{74}$$

To multiply \sqrt{7} and \sqrt{74}, multiply the numbers under the square root.

$$96889010407\sqrt{518}$$