Solve {r}{0.98^8*0.02^2*45}{+0.98^9*0.2+0.98^10}

$$\left. \begin{array} { r } { 0.98 ^ { 8 } \times 0.02 ^ { 2 } \times 45 } \\ { + 0.98 ^ { 9 } \times 0.2 + 0.98 ^ { 10 } } \end{array} \right.$$

Evaluate

$$0.99913609372004900864$$

Solution Steps

Calculate 0.98 to the power of 8 and get 0.8507630225817856.

$$0.8507630225817856\times 0.02^{2}\times 45+0.98^{9}\times 0.2+0.98^{10}$$

Calculate 0.02 to the power of 2 and get 0.0004.

$$0.8507630225817856\times 0.0004\times 45+0.98^{9}\times 0.2+0.98^{10}$$

Multiply 0.8507630225817856 and 0.0004 to get 0.00034030520903271424.

$$0.00034030520903271424\times 45+0.98^{9}\times 0.2+0.98^{10}$$

Multiply 0.00034030520903271424 and 45 to get 0.0153137344064721408.

$$0.0153137344064721408+0.98^{9}\times 0.2+0.98^{10}$$

Calculate 0.98 to the power of 9 and get 0.833747762130149888.

$$0.0153137344064721408+0.833747762130149888\times 0.2+0.98^{10}$$

Multiply 0.833747762130149888 and 0.2 to get 0.1667495524260299776.

$$0.0153137344064721408+0.1667495524260299776+0.98^{10}$$

Add 0.0153137344064721408 and 0.1667495524260299776 to get 0.1820632868325021184.

$$0.1820632868325021184+0.98^{10}$$

Calculate 0.98 to the power of 10 and get 0.81707280688754689024.

$$0.1820632868325021184+0.81707280688754689024$$

Add 0.1820632868325021184 and 0.81707280688754689024 to get 0.99913609372004900864.

$$0.99913609372004900864$$

Factor

$$\frac{367 \cdot 7 ^ {16}}{2 ^ {7} \cdot 5 ^ {20}} = 0.9991360937200491$$