Solve 6^-3*4^4*27^3

$$6 ^ { - 3 } \cdot 4 ^ { 4 } \cdot 27 ^ { 3 }$$

Evaluate

$$23328$$

Solution Steps

Calculate 6 to the power of -3 and get \frac{1}{216}.

$$\frac{1}{216}\times 4^{4}\times 27^{3}$$

Calculate 4 to the power of 4 and get 256.

$$\frac{1}{216}\times 256\times 27^{3}$$

Multiply \frac{1}{216} and 256 to get \frac{32}{27}.

$$\frac{32}{27}\times 27^{3}$$

Calculate 27 to the power of 3 and get 19683.

$$\frac{32}{27}\times 19683$$

Multiply \frac{32}{27} and 19683 to get 23328.

$$23328$$

Factor

$$2^{5}\times 3^{6}$$