Solve (x/3)^-2

$$( \frac { x } { 3 } ) ^ { - 2 }$$

Evaluate

$$\frac{9}{x^{2}}$$

Solution Steps

To raise \frac{x}{3} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{x^{-2}}{3^{-2}}$$

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$\frac{x^{-2}}{\frac{1}{9}}$$

Divide x^{-2} by \frac{1}{9} by multiplying x^{-2} by the reciprocal of \frac{1}{9}.

$$x^{-2}\times 9$$

Expand

$$\frac{9}{x^{2}}$$

Solution Steps

To raise \frac{x}{3} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{x^{-2}}{3^{-2}}$$

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$\frac{x^{-2}}{\frac{1}{9}}$$

Divide x^{-2} by \frac{1}{9} by multiplying x^{-2} by the reciprocal of \frac{1}{9}.

$$x^{-2}\times 9$$