Question(2) Simplify. Leave answers in simplest form using positive exponents in the final answer. a. $5^{19} \div 5^{-5}$ b. $\left(\frac{2}{3}\right)^{5} \cdot\left(\frac{4}{9}\right)^{-2}$

Studdy Solution
Simplify the fraction by finding the greatest common divisor (GCD) of 2592 and 3888, which is 1296:
$$\frac{2592 \div 1296}{3888 \div 1296} = \frac{2}{3}$$
The final simplified expression is:
$$\frac{2}{3}$$
The solutions are: a. $5^{24}$ b. $\frac{2}{3}$