I see you've uploaded an image with five mathematical questions. Let me help you solve them one by one:

1. Hasil dari (-1)^9 + (1/2)^(-1) = ...

   • $(-1)^9 = -1$ because the exponent is odd.
   • $(1/2)^{-1} = 2$ because taking the reciprocal of $1/2$ gives 2.
   • Therefore, $(-1)^9 + (1/2)^{-1} = -1 + 2 = 1$.

   Answer: 1

2. Hasil dari $\left[\frac{2}{3}\right]^{-2}$ adalah = ...

   • $\left(\frac{2}{3}\right)^{-2}$ means the reciprocal squared.
   • Reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$, and squaring it gives $\frac{9}{4}$.

   Answer: $\frac{9}{4}$

3. Bentuk sederhana dari ((2^4)^2 \times \left(\frac{1}{2}\right)^{-2} = ...

   • $(2^4)^2 = 2^{8}$.
   • $\left(\frac{1}{2}\right)^{-2} = 2^2$ because of the negative exponent.
   • Therefore, $2^8 \times 2^2 = 2^{10} = 1024$.

   Answer: 1024

4. Hasil dari (81^{\frac{1}{4}} - 125^{\frac{1}{3}} + 4^{\frac{3}{2}} = ...

   • $81^{\frac{1}{4}} = \sqrt[4]{81} = 3$.
   • $125^{\frac{1}{3}} = \sqrt[3]{125} = 5$.
   • $4^{\frac{3}{2}} = \sqrt{4}^3 = 2^3 = 8$.
   • Therefore, $3 - 5 + 8 = 6$.

   Answer: 6

5. Hasil dari (0^5 + (-3)^0 = ...

   • $0^5 = 0$ because any number raised to a power is 0.
   • $(-3)^0 = 1$ because any number raised to 0 is 1.
   • Therefore, $0 + 1 = 1$.

   Answer: 1

Would you like further clarification or a breakdown of any of the steps? Here are five related questions for practice:

1. What is the value of $(-2)^3 + (4/5)^{-1}$?
2. Simplify $(3/4)^{-3}$.
3. Evaluate $(5^3)^2 \times (1/3)^{-3}$.
4. Find the result of $16^{1/2} - 64^{1/3} + 9^{3/2}$.
5. What is the sum of $2^0 + (-1)^0$?

Tip: When working with exponents, always remember that negative exponents indicate a reciprocal, and fractional exponents relate to roots!