Solve 2(4(0.25^6)-3(0.25^5)+12(0.25)

$$2(4( { 0.25 }^{ 6 } )-3( { 0.25 }^{ 5 } )+12(0.25)$$

Evaluate

$$5.99609375$$

Solution Steps

Calculate 0.25 to the power of 6 and get 0.000244140625.

$$2\left(4\times 0.000244140625-3\times 0.25^{5}+12\times 0.25\right)$$

Multiply 4 and 0.000244140625 to get 0.0009765625.

$$2\left(0.0009765625-3\times 0.25^{5}+12\times 0.25\right)$$

Calculate 0.25 to the power of 5 and get 0.0009765625.

$$2\left(0.0009765625-3\times 0.0009765625+12\times 0.25\right)$$

Multiply 3 and 0.0009765625 to get 0.0029296875.

$$2\left(0.0009765625-0.0029296875+12\times 0.25\right)$$

Subtract 0.0029296875 from 0.0009765625 to get -0.001953125.

$$2\left(-0.001953125+12\times 0.25\right)$$

Multiply 12 and 0.25 to get 3.

$$2\left(-0.001953125+3\right)$$

Add -0.001953125 and 3 to get 2.998046875.

$$2\times 2.998046875$$

Multiply 2 and 2.998046875 to get 5.99609375.

$$5.99609375$$

Factor

$$\frac{5 \cdot 307}{2 ^ {8}} = 5\frac{255}{256} = 5.99609375$$