Calculate the Fraction: Finding the Value of 1/2^9

Question

$\frac{1}{2^9}=\text{?}$

Video Solution

Solution Steps

00:03 Let's solve this problem together!

00:06 Remember, when A is raised to the power of negative N,

00:10 it equals 1 divided by A to the power of N.

00:14 Let's use this rule to answer the question.

00:18 If we have 1 divided by 2, it becomes 2.

00:22 And the exponent 9 becomes negative 9.

00:25 And that's how we find the solution!

Step-by-Step Solution

We use the power property for a negative exponent:

$a^{-n}=\frac{1}{a^n}$ We apply it to the given expression:

$\frac{1}{2^9}=2^{-9}$

Therefore, the correct answer is option A.

Answer

$2^{-9}$

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