Solve 6*5*4*3/4*3*2*10.9^40.1^2+60.9^5+0.1+0.9^6

$$\frac{ 6 \cdot 5 \cdot 4 \cdot 3 }{ 4 \cdot 3 \cdot 2 \cdot 1 } { 0.9 }^{ 4 } { 0.1 }^{ 2 } +6 { 0.9 }^{ 5 } +0.1+ { 0.9 }^{ 6 }$$

Evaluate

$$4.272796$$

Solution Steps

Cancel out 2\times 2\times 2\times 3 in both numerator and denominator.

$$3\times 5\times 0.9^{4}\times 0.1^{2}+6\times 0.9^{5}+0.1+0.9^{6}$$

Multiply 3 and 5 to get 15.

$$15\times 0.9^{4}\times 0.1^{2}+6\times 0.9^{5}+0.1+0.9^{6}$$

Calculate 0.9 to the power of 4 and get 0.6561.

$$15\times 0.6561\times 0.1^{2}+6\times 0.9^{5}+0.1+0.9^{6}$$

Multiply 15 and 0.6561 to get 9.8415.

$$9.8415\times 0.1^{2}+6\times 0.9^{5}+0.1+0.9^{6}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$9.8415\times 0.01+6\times 0.9^{5}+0.1+0.9^{6}$$

Multiply 9.8415 and 0.01 to get 0.098415.

$$0.098415+6\times 0.9^{5}+0.1+0.9^{6}$$

Calculate 0.9 to the power of 5 and get 0.59049.

$$0.098415+6\times 0.59049+0.1+0.9^{6}$$

Multiply 6 and 0.59049 to get 3.54294.

$$0.098415+3.54294+0.1+0.9^{6}$$

Add 0.098415 and 3.54294 to get 3.641355.

$$3.641355+0.1+0.9^{6}$$

Add 3.641355 and 0.1 to get 3.741355.

$$3.741355+0.9^{6}$$

Calculate 0.9 to the power of 6 and get 0.531441.

$$3.741355+0.531441$$

Add 3.741355 and 0.531441 to get 4.272796.

$$4.272796$$

Factor

$$\frac{11 \cdot 269 \cdot 19 ^ {2}}{2 ^ {4} \cdot 5 ^ {6}} = 4\frac{68199}{250000} = 4.272796$$