Solve 20*-4^2*-16/5*-3125

$$20 \times { -4 }^{ 2 } \times \frac{ -16 }{ 5 } \times -3125$$

Evaluate

$$3200000$$

Solution Steps

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

$$20\times 16\times \frac{-16}{5}\left(-3125\right)$$

Multiply 20 and 16 to get 320.

$$320\times \frac{-16}{5}\left(-3125\right)$$

Fraction \frac{-16}{5} can be rewritten as -\frac{16}{5} by extracting the negative sign.

$$320\left(-\frac{16}{5}\right)\left(-3125\right)$$

Express 320\left(-\frac{16}{5}\right) as a single fraction.

$$\frac{320\left(-16\right)}{5}\left(-3125\right)$$

Multiply 320 and -16 to get -5120.

$$\frac{-5120}{5}\left(-3125\right)$$

Divide -5120 by 5 to get -1024.

$$-1024\left(-3125\right)$$

Multiply -1024 and -3125 to get 3200000.

$$3200000$$

Factor

$$2^{10}\times 5^{5}$$