# Nakafa Learning Content

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URL: https://nakafa.com/en/exercises/high-school/tka/mathematics/try-out/2026/set-1/1

Exercises: Try Out 2026 - Set 1: Real exam simulation to sharpen your skills and build confidence. - Question 1

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## Exercise 1

### Question

export const metadata = {
    title: "Question 1",
    authors: [{ name: "Nabil Akbarazzima Fatih" }],
    date: "06/11/2025",
};

Given <InlineMath math="a = \frac{1}{2}" />, <InlineMath math="b = 2" />, <InlineMath math="c = 1" />

The value of

<BlockMath math="\frac{a^{-2}bc^3}{ab^2c^{-1}} = ...." />


### Choices

- [ ] $$1$$
- [ ] $$2$$
- [ ] $$3$$
- [x] $$4$$
- [ ] $$5$$

### Answer & Explanation

export const metadata = {
    title: "Solution to Question 1",
    authors: [{ name: "Nabil Akbarazzima Fatih" }],
    date: "06/11/2025",
};

Given: <InlineMath math="a = \frac{1}{2}" />; <InlineMath math="b = 2" />, <InlineMath math="c = 1" />

<MathContainer>
<BlockMath math="\frac{a^{-2}bc^3}{ab^2c^{-1}} = \frac{bc^3}{ab^2} \cdot \frac{c^1}{a^2}" />
<BlockMath math="= \frac{2 \cdot 1^3}{\left(\frac{1}{2}\right) \cdot 2^2} \cdot \frac{1^1}{\left(\frac{1}{2}\right)^2}" />
<BlockMath math="= \frac{2 \cdot 4}{2} = 4" />
</MathContainer>



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