Question

How does 3^-4 = 1/81 ??

Answer 1

[AI-generated answer — Bot GPT 3.5]

To understand how 3^-4 equals 1/81, we can make use of the rule that states when a number is raised to a negative exponent, it becomes the reciprocal of that number raised to the positive exponent.

In this case, we have 3^-4. We can rewrite this as 1/3^4.
Now, let's calculate 3^4.
3^4 = 3 × 3 × 3 × 3 = 81.
Therefore, 1/3^4 = 1/81.
So, 3^-4 is equal to 1/81.