Solve 1^5+121^4+411^3-21^2-192-160/{1^{6}+6{4}^5-3{1}^4-52{1}^3-12{1}^2+96-80}

$$\frac{ { 1 }^{ 5 } +12 { 1 }^{ 4 } +41 { 1 }^{ 3 } -2 { 1 }^{ 2 } -192-160 }{ { 1 }^{ 6 } +6 { 4 }^{ 5 } -3 { 1 }^{ 4 } -52 { 1 }^{ 3 } -12 { 1 }^{ 2 } +96-80 }$$

Evaluate

$$-\frac{150}{3047}\approx -0.04922875$$

Solution Steps

Calculate 1 to the power of 5 and get 1.

$$\frac{1+12\times 1^{4}+41\times 1^{3}-2\times 1^{2}-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Calculate 1 to the power of 4 and get 1.

$$\frac{1+12\times 1+41\times 1^{3}-2\times 1^{2}-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Multiply 12 and 1 to get 12.

$$\frac{1+12+41\times 1^{3}-2\times 1^{2}-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Add 1 and 12 to get 13.

$$\frac{13+41\times 1^{3}-2\times 1^{2}-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Calculate 1 to the power of 3 and get 1.

$$\frac{13+41\times 1-2\times 1^{2}-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Multiply 41 and 1 to get 41.

$$\frac{13+41-2\times 1^{2}-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Add 13 and 41 to get 54.

$$\frac{54-2\times 1^{2}-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{54-2\times 1-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Multiply 2 and 1 to get 2.

$$\frac{54-2-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Subtract 2 from 54 to get 52.

$$\frac{52-192-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Subtract 192 from 52 to get -140.

$$\frac{-140-160}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Subtract 160 from -140 to get -300.

$$\frac{-300}{1^{6}+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Calculate 1 to the power of 6 and get 1.

$$\frac{-300}{1+6\times 4^{5}-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Calculate 4 to the power of 5 and get 1024.

$$\frac{-300}{1+6\times 1024-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Multiply 6 and 1024 to get 6144.

$$\frac{-300}{1+6144-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Add 1 and 6144 to get 6145.

$$\frac{-300}{6145-3\times 1^{4}-52\times 1^{3}-12\times 1^{2}+96-80}$$

Calculate 1 to the power of 4 and get 1.

$$\frac{-300}{6145-3\times 1-52\times 1^{3}-12\times 1^{2}+96-80}$$

Multiply 3 and 1 to get 3.

$$\frac{-300}{6145-3-52\times 1^{3}-12\times 1^{2}+96-80}$$

Subtract 3 from 6145 to get 6142.

$$\frac{-300}{6142-52\times 1^{3}-12\times 1^{2}+96-80}$$

Calculate 1 to the power of 3 and get 1.

$$\frac{-300}{6142-52\times 1-12\times 1^{2}+96-80}$$

Multiply 52 and 1 to get 52.

$$\frac{-300}{6142-52-12\times 1^{2}+96-80}$$

Subtract 52 from 6142 to get 6090.

$$\frac{-300}{6090-12\times 1^{2}+96-80}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{-300}{6090-12\times 1+96-80}$$

Multiply 12 and 1 to get 12.

$$\frac{-300}{6090-12+96-80}$$

Subtract 12 from 6090 to get 6078.

$$\frac{-300}{6078+96-80}$$

Add 6078 and 96 to get 6174.

$$\frac{-300}{6174-80}$$

Subtract 80 from 6174 to get 6094.

$$\frac{-300}{6094}$$

Reduce the fraction \frac{-300}{6094} to lowest terms by extracting and canceling out 2.

$$-\frac{150}{3047}$$

Factor

$$-\frac{150}{3047} = -0.04922874958976042$$