Solve (3c^2d^2/6a^-1c)^0

$$( \frac { 3 c ^ { 2 } d ^ { 2 } } { 6 a ^ { - 1 } c } ) ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Cancel out 3c in both numerator and denominator.

$$\left(\frac{cd^{2}}{2\times \frac{1}{a}}\right)^{0}$$

Express 2\times \frac{1}{a} as a single fraction.

$$\left(\frac{cd^{2}}{\frac{2}{a}}\right)^{0}$$

Divide cd^{2} by \frac{2}{a} by multiplying cd^{2} by the reciprocal of \frac{2}{a}.

$$\left(\frac{cd^{2}a}{2}\right)^{0}$$

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

$$\frac{\left(cd^{2}a\right)^{0}}{2^{0}}$$

Calculate cd^{2}a to the power of 0 and get 1.

$$\frac{1}{2^{0}}$$

Calculate 2 to the power of 0 and get 1.

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

Anything divided by one gives itself.

$$1$$

Factor

$$1$$