Solve alpha5+26*3^3+57^0*3^8/173/3^2+-3

$$\alpha 5 + 26 \times 3 ^ { 3 } + 57 ^ { 0 } \times \frac { 3 ^ { 8 } } { 173 } / 3 ^ { 2 + - 3 }$$

Evaluate

$$\alpha _{5}+\frac{141129}{173}$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\alpha _{5}+26\times 27+\frac{57^{0}\times \frac{3^{8}}{173}}{3^{2-3}}$$

Multiply 26 and 27 to get 702.

$$\alpha _{5}+702+\frac{57^{0}\times \frac{3^{8}}{173}}{3^{2-3}}$$

Calculate 57 to the power of 0 and get 1.

$$\alpha _{5}+702+\frac{1\times \frac{3^{8}}{173}}{3^{2-3}}$$

Calculate 3 to the power of 8 and get 6561.

$$\alpha _{5}+702+\frac{1\times \frac{6561}{173}}{3^{2-3}}$$

Multiply 1 and \frac{6561}{173} to get \frac{6561}{173}.

$$\alpha _{5}+702+\frac{\frac{6561}{173}}{3^{2-3}}$$

Subtract 3 from 2 to get -1.

$$\alpha _{5}+702+\frac{\frac{6561}{173}}{3^{-1}}$$

Calculate 3 to the power of -1 and get \frac{1}{3}.

$$\alpha _{5}+702+\frac{\frac{6561}{173}}{\frac{1}{3}}$$

Divide \frac{6561}{173} by \frac{1}{3} by multiplying \frac{6561}{173} by the reciprocal of \frac{1}{3}.

$$\alpha _{5}+702+\frac{6561}{173}\times 3$$

Multiply \frac{6561}{173} and 3 to get \frac{19683}{173}.

$$\alpha _{5}+702+\frac{19683}{173}$$

Add 702 and \frac{19683}{173} to get \frac{141129}{173}.

$$\alpha _{5}+\frac{141129}{173}$$

Factor

$$\frac{173\alpha _{5}+141129}{173}$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$factor(\alpha _{5}+26\times 27+\frac{57^{0}\times \frac{3^{8}}{173}}{3^{2-3}})$$

Multiply 26 and 27 to get 702.

$$factor(\alpha _{5}+702+\frac{57^{0}\times \frac{3^{8}}{173}}{3^{2-3}})$$

Calculate 57 to the power of 0 and get 1.

$$factor(\alpha _{5}+702+\frac{1\times \frac{3^{8}}{173}}{3^{2-3}})$$

Calculate 3 to the power of 8 and get 6561.

$$factor(\alpha _{5}+702+\frac{1\times \frac{6561}{173}}{3^{2-3}})$$

Multiply 1 and \frac{6561}{173} to get \frac{6561}{173}.

$$factor(\alpha _{5}+702+\frac{\frac{6561}{173}}{3^{2-3}})$$

Subtract 3 from 2 to get -1.

$$factor(\alpha _{5}+702+\frac{\frac{6561}{173}}{3^{-1}})$$

Calculate 3 to the power of -1 and get \frac{1}{3}.

$$factor(\alpha _{5}+702+\frac{\frac{6561}{173}}{\frac{1}{3}})$$

Divide \frac{6561}{173} by \frac{1}{3} by multiplying \frac{6561}{173} by the reciprocal of \frac{1}{3}.

$$factor(\alpha _{5}+702+\frac{6561}{173}\times 3)$$

Multiply \frac{6561}{173} and 3 to get \frac{19683}{173}.

$$factor(\alpha _{5}+702+\frac{19683}{173})$$

Add 702 and \frac{19683}{173} to get \frac{141129}{173}.

$$factor(\alpha _{5}+\frac{141129}{173})$$

Factor out \frac{1}{173}.

$$\frac{173\alpha _{5}+141129}{173}$$