Solve 3.456*2.456*5.456-3.456^3-1.456^2

$$3.456 \times 2.456 \times 5.456- { 3.456 }^{ 3 } - { 1.456 }^{ 2 }$$

Evaluate

$$2.912$$

Solution Steps

Multiply 3.456 and 2.456 to get 8.487936.

$$8.487936\times 5.456-3.456^{3}-1.456^{2}$$

Multiply 8.487936 and 5.456 to get 46.310178816.

$$46.310178816-3.456^{3}-1.456^{2}$$

Calculate 3.456 to the power of 3 and get 41.278242816.

$$46.310178816-41.278242816-1.456^{2}$$

Subtract 41.278242816 from 46.310178816 to get 5.031936.

$$5.031936-1.456^{2}$$

Calculate 1.456 to the power of 2 and get 2.119936.

$$5.031936-2.119936$$

Subtract 2.119936 from 5.031936 to get 2.912.

$$2.912$$

Factor

$$\frac{7 \cdot 13 \cdot 2 ^ {2}}{5 ^ {3}} = 2\frac{114}{125} = 2.912$$