Solve 1.3^7+4*1.3^5+3*1.3^2+1

$${ 1.3 }^{ 7 } +4 \times { 1.3 }^{ 5 } +3 \times { 1.3 }^{ 2 } +1$$

Evaluate

$$27.1965717$$

Solution Steps

Calculate 1.3 to the power of 7 and get 6.2748517.

$$6.2748517+4\times 1.3^{5}+3\times 1.3^{2}+1$$

Calculate 1.3 to the power of 5 and get 3.71293.

$$6.2748517+4\times 3.71293+3\times 1.3^{2}+1$$

Multiply 4 and 3.71293 to get 14.85172.

$$6.2748517+14.85172+3\times 1.3^{2}+1$$

Add 6.2748517 and 14.85172 to get 21.1265717.

$$21.1265717+3\times 1.3^{2}+1$$

Calculate 1.3 to the power of 2 and get 1.69.

$$21.1265717+3\times 1.69+1$$

Multiply 3 and 1.69 to get 5.07.

$$21.1265717+5.07+1$$

Add 21.1265717 and 5.07 to get 26.1965717.

$$26.1965717+1$$

Add 26.1965717 and 1 to get 27.1965717.

$$27.1965717$$

Factor

$$\frac{367 \cdot 82339 \cdot 3 ^ {2}}{2 ^ {7} \cdot 5 ^ {7}} = 27\frac{1965717}{10000000} = 27.1965717$$