Solve 8-(-4)^-2-2^3div(314-pi)^0

$$8 - ( - 4 ) ^ { - 2 } - 2 ^ { 3 } \div ( 314 - \pi ) ^ { 0 }$$

Evaluate

$$-\frac{1}{16}=-0.0625$$

Short Solution Steps

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

$$8-\frac{1}{16}-\frac{2^{3}}{\left(314-\pi \right)^{0}}$$

Subtract \frac{1}{16} from 8 to get \frac{127}{16}.

$$\frac{127}{16}-\frac{2^{3}}{\left(314-\pi \right)^{0}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{127}{16}-\frac{8}{\left(314-\pi \right)^{0}}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 16 and \left(314-\pi \right)^{0} is 16. Multiply \frac{8}{\left(314-\pi \right)^{0}} times \frac{16}{16}.

$$\frac{127}{16}-\frac{8\times 16}{16}$$

Since \frac{127}{16} and \frac{8\times 16}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{127-8\times 16}{16}$$

Do the multiplications in 127-8\times 16.

$$\frac{127-128}{16}$$

Do the calculations in 127-128.

$$\frac{-1}{16}$$

Fraction \frac{-1}{16} can be rewritten as -\frac{1}{16} by extracting the negative sign.

$$-\frac{1}{16}$$

Factor

$$-\frac{1}{16} = -0.0625$$