Solve (x^-3x^3/x^2)^0

$$( \frac { x ^ { - 3 } x ^ { 3 } } { x ^ { 2 } } ) ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Multiply x^{-3} and x^{3} to get 1.

$$\left(\frac{1}{x^{2}}\right)^{0}$$

To raise \frac{1}{x^{2}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1^{0}}{\left(x^{2}\right)^{0}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 0 to get 0.

$$\frac{1^{0}}{x^{0}}$$

Calculate 1 to the power of 0 and get 1.

$$\frac{1}{x^{0}}$$

Calculate x to the power of 0 and get 1.

$$\frac{1}{1}$$

Anything divided by one gives itself.

$$1$$

Factor

$$1$$