Solve -6left(0.10right)^4-3left(0.10right)^3+6left(0.10right)^2

$$-6 { \left(0.10 \right) }^{ 4 } -3 { \left(0.10 \right) }^{ 3 } +6 { \left(0.10 \right) }^{ 2 }$$

Evaluate

$$0.0564$$

Solution Steps

Calculate 0.1 to the power of 4 and get 0.0001.

$$-6\times 0.0001-3\times 0.1^{3}+6\times 0.1^{2}$$

Multiply -6 and 0.0001 to get -0.0006.

$$-0.0006-3\times 0.1^{3}+6\times 0.1^{2}$$

Calculate 0.1 to the power of 3 and get 0.001.

$$-0.0006-3\times 0.001+6\times 0.1^{2}$$

Multiply 3 and 0.001 to get 0.003.

$$-0.0006-0.003+6\times 0.1^{2}$$

Subtract 0.003 from -0.0006 to get -0.0036.

$$-0.0036+6\times 0.1^{2}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$-0.0036+6\times 0.01$$

Multiply 6 and 0.01 to get 0.06.

$$-0.0036+0.06$$

Add -0.0036 and 0.06 to get 0.0564.

$$0.0564$$

Factor

$$\frac{3 \cdot 47}{2 ^ {2} \cdot 5 ^ {4}} = 0.0564$$