Solve 6c^frac{1{8}}(c^frac{3{4}}+2c^-frac{1{8}})

$$6 c ^ { \frac { 1 } { 8 } } ( c ^ { \frac { 3 } { 4 } } + 2 c ^ { - \frac { 1 } { 8 } } )$$

Evaluate

$$6\left(c^{\frac{7}{8}}+2\right)$$

Solution Steps

Use the distributive property to multiply 6c^{\frac{1}{8}} by c^{\frac{3}{4}}+2c^{-\frac{1}{8}}.

$$6c^{\frac{1}{8}}c^{\frac{3}{4}}+12$$

To multiply powers of the same base, add their exponents. Add \frac{1}{8} and \frac{3}{4} to get \frac{7}{8}.

$$6c^{\frac{7}{8}}+12$$

Factor

$$6\left(c^{\frac{7}{8}}+2\right)$$