Solve (-2)^4:4^3:(-2)^3

$$( - 2 ) ^ { 4 } : 4 ^ { 3 } : ( - 2 ) ^ { 3 }$$

Evaluate

$$-\frac{1}{32}=-0.03125$$

Solution Steps

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

$$\frac{\frac{16}{4^{3}}}{\left(-2\right)^{3}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{\frac{16}{64}}{\left(-2\right)^{3}}$$

Reduce the fraction \frac{16}{64} to lowest terms by extracting and canceling out 16.

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

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

$$\frac{\frac{1}{4}}{-8}$$

Express \frac{\frac{1}{4}}{-8} as a single fraction.

$$\frac{1}{4\left(-8\right)}$$

Multiply 4 and -8 to get -32.

$$\frac{1}{-32}$$

Fraction \frac{1}{-32} can be rewritten as -\frac{1}{32} by extracting the negative sign.

$$-\frac{1}{32}$$

Factor

$$-\frac{1}{32} = -0.03125$$