Solve sqrt[7]{7^28+7^30/50}

$$\sqrt[ 7 ] { \frac { 7 ^ { 28 } + 7 ^ { 30 } } { 50 } }$$

Evaluate

$$2401$$

Solution Steps

Calculate 7 to the power of 28 and get 459986536544739960976801.

$$\sqrt[7]{\frac{459986536544739960976801+7^{30}}{50}}$$

Calculate 7 to the power of 30 and get 22539340290692258087863249.

$$\sqrt[7]{\frac{459986536544739960976801+22539340290692258087863249}{50}}$$

Add 459986536544739960976801 and 22539340290692258087863249 to get 22999326827236998048840050.

$$\sqrt[7]{\frac{22999326827236998048840050}{50}}$$

Divide 22999326827236998048840050 by 50 to get 459986536544739960976801.

$$\sqrt[7]{459986536544739960976801}$$

Calculate \sqrt[7]{459986536544739960976801} and get 2401.

$$2401$$

Factor

$$7^{4}$$