Solve 400*-{left(frac{1/2right)}^4}{-1/2}

$$400 \times \frac{ - { \left( \frac{ 1 }{ 2 } \right) }^{ 4 } }{ - \frac{ 1 }{ 2 } }$$

Evaluate

$$50$$

Solution Steps

Calculate \frac{1}{2} to the power of 4 and get \frac{1}{16}.

$$400\times \frac{-\frac{1}{16}}{-\frac{1}{2}}$$

Divide -\frac{1}{16} by -\frac{1}{2} by multiplying -\frac{1}{16} by the reciprocal of -\frac{1}{2}.

$$400\left(-\frac{1}{16}\right)\left(-2\right)$$

Express -\frac{1}{16}\left(-2\right) as a single fraction.

$$400\times \frac{-\left(-2\right)}{16}$$

Multiply -1 and -2 to get 2.

$$400\times \frac{2}{16}$$

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$400\times \frac{1}{8}$$

Multiply 400 and \frac{1}{8} to get \frac{400}{8}.

$$\frac{400}{8}$$

Divide 400 by 8 to get 50.

$$50$$

Factor

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