Solve frac{((8+1)*2)^frac{6{2}}}{(8-6+1)^6}

$$\frac { ( ( 8 + 1 ) * 2 ) ^ { \frac { 6 } { 2 } } } { ( 8 - 6 + 1 ) ^ { 6 } }$$

Evaluate

$$8$$

Solution Steps

Add 8 and 1 to get 9.

$$\frac{\left(9\times 2\right)^{\frac{6}{2}}}{\left(8-6+1\right)^{6}}$$

Multiply 9 and 2 to get 18.

$$\frac{18^{\frac{6}{2}}}{\left(8-6+1\right)^{6}}$$

Divide 6 by 2 to get 3.

$$\frac{18^{3}}{\left(8-6+1\right)^{6}}$$

Calculate 18 to the power of 3 and get 5832.

$$\frac{5832}{\left(8-6+1\right)^{6}}$$

Subtract 6 from 8 to get 2.

$$\frac{5832}{\left(2+1\right)^{6}}$$

Add 2 and 1 to get 3.

$$\frac{5832}{3^{6}}$$

Calculate 3 to the power of 6 and get 729.

$$\frac{5832}{729}$$

Divide 5832 by 729 to get 8.

$$8$$

Factor

$$2^{3}$$