Solve 2(4(0.5^6)-3(0.5^5)+12(0.5)

$$2(4( { 0.5 }^{ 6 } )-3( { 0.5 }^{ 5 } )+12(0.5)$$

Evaluate

$$11.9375$$

Solution Steps

Calculate 0.5 to the power of 6 and get 0.015625.

$$2\left(4\times 0.015625-3\times 0.5^{5}+12\times 0.5\right)$$

Multiply 4 and 0.015625 to get 0.0625.

$$2\left(0.0625-3\times 0.5^{5}+12\times 0.5\right)$$

Calculate 0.5 to the power of 5 and get 0.03125.

$$2\left(0.0625-3\times 0.03125+12\times 0.5\right)$$

Multiply 3 and 0.03125 to get 0.09375.

$$2\left(0.0625-0.09375+12\times 0.5\right)$$

Subtract 0.09375 from 0.0625 to get -0.03125.

$$2\left(-0.03125+12\times 0.5\right)$$

Multiply 12 and 0.5 to get 6.

$$2\left(-0.03125+6\right)$$

Add -0.03125 and 6 to get 5.96875.

$$2\times 5.96875$$

Multiply 2 and 5.96875 to get 11.9375.

$$11.9375$$

Factor

$$\frac{191}{2 ^ {4}} = 11\frac{15}{16} = 11.9375$$