Solve (16*-2^4)-(48*-2^3)+(54*-2^2)-(27*-2)

$$(16 \times { -2 }^{ 4 } )-(48 \times { -2 }^{ 3 } )+(54 \times { -2 }^{ 2 } )-(27 \times -2)$$

Evaluate

$$910$$

Solution Steps

Calculate -2 to the power of 4 and get 16.

$$16\times 16-48\left(-2\right)^{3}+54\left(-2\right)^{2}-27\left(-2\right)$$

Multiply 16 and 16 to get 256.

$$256-48\left(-2\right)^{3}+54\left(-2\right)^{2}-27\left(-2\right)$$

Calculate -2 to the power of 3 and get -8.

$$256-48\left(-8\right)+54\left(-2\right)^{2}-27\left(-2\right)$$

Multiply 48 and -8 to get -384.

$$256-\left(-384\right)+54\left(-2\right)^{2}-27\left(-2\right)$$

The opposite of -384 is 384.

$$256+384+54\left(-2\right)^{2}-27\left(-2\right)$$

Add 256 and 384 to get 640.

$$640+54\left(-2\right)^{2}-27\left(-2\right)$$

Calculate -2 to the power of 2 and get 4.

$$640+54\times 4-27\left(-2\right)$$

Multiply 54 and 4 to get 216.

$$640+216-27\left(-2\right)$$

Add 640 and 216 to get 856.

$$856-27\left(-2\right)$$

Multiply 27 and -2 to get -54.

$$856-\left(-54\right)$$

The opposite of -54 is 54.

$$856+54$$

Add 856 and 54 to get 910.

$$910$$

Factor

$$2\times 5\times 7\times 13$$