Solve 344(1/216)^-frac{2{3}}+(1/27)^-frac{4{3}}=?

$$344 ( \frac { 1 } { 216 } ) ^ { - \frac { 2 } { 3 } } + ( \frac { 1 } { 27 } ) ^ { - \frac { 4 } { 3 } } = ?$$

Evaluate

$$12465$$

Solution Steps

Calculate \frac{1}{216} to the power of -\frac{2}{3} and get 36.

$$344\times 36+\left(\frac{1}{27}\right)^{-\frac{4}{3}}$$

Multiply 344 and 36 to get 12384.

$$12384+\left(\frac{1}{27}\right)^{-\frac{4}{3}}$$

Calculate \frac{1}{27} to the power of -\frac{4}{3} and get 81.

$$12384+81$$

Add 12384 and 81 to get 12465.

$$12465$$

Factor

$$3^{2}\times 5\times 277$$