Solve 8-(-3)^2-(-1)^4div(-4)^3*2^2=

$$8 - ( - 3 ) ^ { 2 } - ( - 1 ) ^ { 4 } \div ( - 4 ) ^ { 3 } \times 2 ^ { 2 } =$$

Evaluate

$$-\frac{15}{16}=-0.9375$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$8-9-\frac{\left(-1\right)^{4}}{\left(-4\right)^{3}}\times 2^{2}$$

Subtract 9 from 8 to get -1.

$$-1-\frac{\left(-1\right)^{4}}{\left(-4\right)^{3}}\times 2^{2}$$

Calculate -1 to the power of 4 and get 1.

$$-1-\frac{1}{\left(-4\right)^{3}}\times 2^{2}$$

Calculate -4 to the power of 3 and get -64.

$$-1-\frac{1}{-64}\times 2^{2}$$

Fraction \frac{1}{-64} can be rewritten as -\frac{1}{64} by extracting the negative sign.

$$-1-\left(-\frac{1}{64}\times 2^{2}\right)$$

Calculate 2 to the power of 2 and get 4.

$$-1-\left(-\frac{1}{64}\times 4\right)$$

Express -\frac{1}{64}\times 4 as a single fraction.

$$-1-\frac{-4}{64}$$

Reduce the fraction \frac{-4}{64} to lowest terms by extracting and canceling out 4.

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

The opposite of -\frac{1}{16} is \frac{1}{16}.

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

Convert -1 to fraction -\frac{16}{16}.

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

Since -\frac{16}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

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

Add -16 and 1 to get -15.

$$-\frac{15}{16}$$

Factor

$$-\frac{15}{16} = -0.9375$$