Solve 15/2left(.10right)^2(1-left(.10right)^20-0=

$$\frac{ 15 }{ 2 } { \left(.10 \right) }^{ 2 } (1- { \left(.10 \right) }^{ 20-0 } =$$

Evaluate

$$0.07499999999999999999925$$

Solution Steps

Calculate 0.1 to the power of 2 and get 0.01.

$$\frac{15}{2}\times 0.01\left(1-0.1^{20-0}\right)$$

Multiply \frac{15}{2} and 0.01 to get \frac{3}{40}.

$$\frac{3}{40}\left(1-0.1^{20-0}\right)$$

Subtract 0 from 20 to get 20.

$$\frac{3}{40}\left(1-0.1^{20}\right)$$

Calculate 0.1 to the power of 20 and get 0.00000000000000000001.

$$\frac{3}{40}\left(1-0.00000000000000000001\right)$$

Subtract 0.00000000000000000001 from 1 to get 0.99999999999999999999.

$$\frac{3}{40}\times 0.99999999999999999999$$

Multiply \frac{3}{40} and 0.99999999999999999999 to get \frac{299999999999999999997}{4000000000000000000000}.

$$\frac{299999999999999999997}{4000000000000000000000}$$

Factor

$$\frac{11 \cdot 41 \cdot 101 \cdot 271 \cdot 3541 \cdot 9091 \cdot 27961 \cdot 3 ^ {3}}{2 ^ {23} \cdot 5 ^ {21}} = 0.075$$