Solve (c^frac{4{5}}*a^frac{1{3}})^-2

$$( c ^ { \frac { 4 } { 5 } } \cdot a ^ { \frac { 1 } { 3 } } ) ^ { - 2 }$$

Evaluate

$$\frac{1}{a^{\frac{2}{3}}c^{\frac{8}{5}}}$$

Solution Steps

Expand \left(c^{\frac{4}{5}}a^{\frac{1}{3}}\right)^{-2}.

$$\left(c^{\frac{4}{5}}\right)^{-2}\left(a^{\frac{1}{3}}\right)^{-2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{4}{5} and -2 to get -\frac{8}{5}.

$$c^{-\frac{8}{5}}\left(a^{\frac{1}{3}}\right)^{-2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{1}{3} and -2 to get -\frac{2}{3}.

$$c^{-\frac{8}{5}}a^{-\frac{2}{3}}$$

Expand

$$\frac{1}{a^{\frac{2}{3}}c^{\frac{8}{5}}}$$

Solution Steps

Expand \left(c^{\frac{4}{5}}a^{\frac{1}{3}}\right)^{-2}.

$$\left(c^{\frac{4}{5}}\right)^{-2}\left(a^{\frac{1}{3}}\right)^{-2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{4}{5} and -2 to get -\frac{8}{5}.

$$c^{-\frac{8}{5}}\left(a^{\frac{1}{3}}\right)^{-2}$$

To raise a power to another power, multiply the exponents. Multiply \frac{1}{3} and -2 to get -\frac{2}{3}.

$$c^{-\frac{8}{5}}a^{-\frac{2}{3}}$$