https://file.aiquickdraw.com/mathbot/file/1726706718732fy2zo2oi.jpg

The problem in the image asks:

**"Tentukan nilai dari \( 2^{-6} \)!"**, which translates to **"Determine the value of \( 2^{-6} \)"!**

To solve \( 2^{-6} \):

The negative exponent rule tells us that:
\[
a^{-b} = \frac{1}{a^b}
\]
So, \( 2^{-6} = \frac{1}{2^6} \).

Now, calculate \( 2^6 \):
\[
2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64
\]

Thus:
\[
2^{-6} = \frac{1}{64}
\]

The value of \( 2^{-6} \) is \( \frac{1}{64} \).

Do you want more details or further clarification?

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Here are 5 related questions you might find interesting:

1. What is the value of \( 2^{-8} \)?
2. How do you simplify expressions with negative exponents?
3. What is the result of \( 3^{-4} \)?
4. How can you express \( 2^{-6} \) as a decimal?
5. What is the general formula for calculating negative exponents?

**Tip**: When dealing with negative exponents, remember that the negative sign in the exponent means you are taking the reciprocal of the base raised to the positive exponent!

Learn how to solve the expression 2^{-6} by applying the negative exponent rule. This problem demonstrates key exponent concepts and is suitable for students in Grades 7-9. The solution breaks down the reciprocal rule and computes the final answer.

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