Solve (frac{a^{13}c^9}{ab^0c^12})^2

$$( \frac { a ^ { 13 } c ^ { 9 } } { a b ^ { 0 } c ^ { 12 } } ) ^ { 2 }$$

Evaluate

$$\frac{a^{24}}{c^{6}}$$

Short Solution Steps

Cancel out ac^{9} in both numerator and denominator.

$$\left(\frac{a^{12}}{b^{0}c^{3}}\right)^{2}$$

Calculate b to the power of 0 and get 1.

$$\left(\frac{a^{12}}{1c^{3}}\right)^{2}$$

To raise \frac{a^{12}}{1c^{3}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(a^{12}\right)^{2}}{\left(1c^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 12 and 2 to get 24.

$$\frac{a^{24}}{\left(1c^{3}\right)^{2}}$$

Expand \left(1c^{3}\right)^{2}.

$$\frac{a^{24}}{1^{2}\left(c^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{a^{24}}{1^{2}c^{6}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{a^{24}}{1c^{6}}$$

For any term t, t\times 1=t and 1t=t.

$$\frac{a^{24}}{c^{6}}$$

Expand

$$\frac{a^{24}}{c^{6}}$$

Short Solution Steps

Cancel out ac^{9} in both numerator and denominator.

$$\left(\frac{a^{12}}{b^{0}c^{3}}\right)^{2}$$

Calculate b to the power of 0 and get 1.

$$\left(\frac{a^{12}}{1c^{3}}\right)^{2}$$

To raise \frac{a^{12}}{1c^{3}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(a^{12}\right)^{2}}{\left(1c^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 12 and 2 to get 24.

$$\frac{a^{24}}{\left(1c^{3}\right)^{2}}$$

Expand \left(1c^{3}\right)^{2}.

$$\frac{a^{24}}{1^{2}\left(c^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{a^{24}}{1^{2}c^{6}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{a^{24}}{1c^{6}}$$

For any term t, t\times 1=t and 1t=t.

$$\frac{a^{24}}{c^{6}}$$