2) (128cdot 2^-2cdot 3^5)/(36^-4)

To simplify the expression $\frac {128\cdot 2^{-2}\cdot 3^{5}}{36^{-4}}$, we can follow these steps:<br /><br />1. Simplify the numerator:<br /> $128 \cdot 2^{-2} \cdot 3^{5} = 128 \cdot \frac{1}{2^2} \cdot 3^{5} = 128 \cdot \frac{1}{4} \cdot 3^{5} = 32 \cdot 3^{5} = 32 \cdot 243 = 7776$<br /><br />2. Simplify the denominator:<br /> $36^{-4} = \frac{1}{36^4} = \frac{1}{(6^2)^4} = \frac{1}{6^8} = \frac{1}{16777216}$<br /><br />3. Divide the numerator by the denominator:<br /> $\frac{7776}{\frac{1}{16777216}} = 7776 \cdot 16777216 = 130606940416$<br /><br />Therefore, the simplified expression is $130606940416$.