Solve -1^8-1/32*1-2^3--2^3

$${ -1 }^{ 8 } - \frac{ 1 }{ 32 } \times 1- { 2 }^{ 3 } - { -2 }^{ 3 }$$

Evaluate

$$\frac{31}{32}=0.96875$$

Solution Steps

Calculate -1 to the power of 8 and get 1.

$$1-\frac{1}{32}\times 1-2^{3}-\left(-2\right)^{3}$$

Multiply \frac{1}{32} and 1 to get \frac{1}{32}.

$$1-\frac{1}{32}-2^{3}-\left(-2\right)^{3}$$

Convert 1 to fraction \frac{32}{32}.

$$\frac{32}{32}-\frac{1}{32}-2^{3}-\left(-2\right)^{3}$$

Since \frac{32}{32} and \frac{1}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-1}{32}-2^{3}-\left(-2\right)^{3}$$

Subtract 1 from 32 to get 31.

$$\frac{31}{32}-2^{3}-\left(-2\right)^{3}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{31}{32}-8-\left(-2\right)^{3}$$

Convert 8 to fraction \frac{256}{32}.

$$\frac{31}{32}-\frac{256}{32}-\left(-2\right)^{3}$$

Since \frac{31}{32} and \frac{256}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-256}{32}-\left(-2\right)^{3}$$

Subtract 256 from 31 to get -225.

$$-\frac{225}{32}-\left(-2\right)^{3}$$

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

$$-\frac{225}{32}-\left(-8\right)$$

The opposite of -8 is 8.

$$-\frac{225}{32}+8$$

Convert 8 to fraction \frac{256}{32}.

$$-\frac{225}{32}+\frac{256}{32}$$

Since -\frac{225}{32} and \frac{256}{32} have the same denominator, add them by adding their numerators.

$$\frac{-225+256}{32}$$

Add -225 and 256 to get 31.

$$\frac{31}{32}$$

Factor

$$\frac{31}{2 ^ {5}} = 0.96875$$