Solve (1/3)^-4(1/9)^-3(1/27)^-2?

$$( \frac { 1 } { 3 } ) ^ { - 4 } ( \frac { 1 } { 9 } ) ^ { - 3 } ( \frac { 1 } { 27 } ) ^ { - 2 } ?$$

Evaluate

$$43046721$$

Solution Steps

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

$$81\times \left(\frac{1}{9}\right)^{-3}\times \left(\frac{1}{27}\right)^{-2}$$

Calculate \frac{1}{9} to the power of -3 and get 729.

$$81\times 729\times \left(\frac{1}{27}\right)^{-2}$$

Multiply 81 and 729 to get 59049.

$$59049\times \left(\frac{1}{27}\right)^{-2}$$

Calculate \frac{1}{27} to the power of -2 and get 729.

$$59049\times 729$$

Multiply 59049 and 729 to get 43046721.

$$43046721$$

Factor

$$3^{16}$$