Solve (-1/2x)^7div(-1/2x)

$$( - \frac { 1 } { 2 } x ) ^ { 7 } \div ( - \frac { 1 } { 2 } x )$$

Evaluate

$$\frac{x^{6}}{64}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 7 to get 6.

$$\left(-\frac{1}{2}x\right)^{6}$$

Expand \left(-\frac{1}{2}x\right)^{6}.

$$\left(-\frac{1}{2}\right)^{6}x^{6}$$

Calculate -\frac{1}{2} to the power of 6 and get \frac{1}{64}.

$$\frac{1}{64}x^{6}$$

Expand

$$\frac{x^{6}}{64}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 7 to get 6.

$$\left(-\frac{1}{2}x\right)^{6}$$

Expand \left(-\frac{1}{2}x\right)^{6}.

$$\left(-\frac{1}{2}\right)^{6}x^{6}$$

Calculate -\frac{1}{2} to the power of 6 and get \frac{1}{64}.

$$\frac{1}{64}x^{6}$$