Solve (4^3*6^3)^-2

$$( 4 ^ { 3 } \cdot 6 ^ { 3 } ) ^ { - 2 }$$

Evaluate

$$\frac{1}{191102976}\approx 5.232780886 \cdot 10^{-9}$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$\left(64\times 6^{3}\right)^{-2}$$

Calculate 6 to the power of 3 and get 216.

$$\left(64\times 216\right)^{-2}$$

Multiply 64 and 216 to get 13824.

$$13824^{-2}$$

Calculate 13824 to the power of -2 and get \frac{1}{191102976}.

$$\frac{1}{191102976}$$

Factor

$$\frac{1}{2 ^ {18} \cdot 3 ^ {6}} = 5.2327808856310005 \times 10^{-9}$$