The image contains two logarithmic expressions to be calculated under the heading "Hitung," which means "Calculate" in Indonesian:

1. $\text{a.} \ (9)^{\sqrt[3]{\log_2 3}}$
2. $\text{b.} \ (8)^{4 \log_{27} 4}$

Let’s solve each one step by step.

Part (a): $(9)^{\sqrt[3]{\log_2 3}}$

1. Start by expressing 9 as a power of 3: $9 = 3^2$ So the expression becomes: [ (3^2)^{\sqrt[3]{\log_2 3}} = 3^{2\sqrt[3]{\log_2 3}} ]
2. The result is simplified, but it can remain in this form for now. This expression is difficult to simplify further without numerical approximation.

Part (b): $(8)^{4 \log_{27} 4}$

1. Express 8 and 27 in terms of powers of 2 and 3: $8 = 2^3, \quad 27 = 3^3$ So the expression becomes: $(2^3)^{4 \log_{3^3} 4} = 2^{12 \log_3 4 / 3}$
2. Use the property of logarithms: $\log_{a^b} c = \frac{1}{b} \log_a c$, which simplifies the exponent: $2^{4 \log_3 4}$
3. Finally, apply the logarithmic identity $a^{\log_b c} = c^{\log_b a}$ to simplify the expression: $2^{4 \log_3 4} = 4^{\log_3 2^4} = 4^{\log_3 16}$

Let me know if you would like further clarification or a more detailed explanation!

Here are 5 related questions for practice:

1. What is the value of $\log_2 16$?
2. Simplify $(27)^{\log_3 3}$.
3. Calculate $(4)^{\log_2 16}$.
4. How do you simplify $a^{\log_b c}$ using logarithmic properties?
5. Evaluate $(25)^{\log_5 5}$.

Tip: Always remember logarithmic properties such as $a^{\log_b c} = c^{\log_b a}$, as they are useful for simplifying complex expressions.