Question

Which of the following is equivalent to 6^-2

1. 1/6^-2
2. 1/2^6
3. 1/36
4. 36

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is 3. 1/36.

To find the equivalent expression of 6^-2, we need to invert the base and keep the exponent negative.

6^-2 is the same as (1/6)^2.

Squaring 1/6, we get 1/36.

Therefore, 6^-2 is equivalent to 1/36.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the equivalent expression for 6^-2, we can start by understanding the meaning of negative exponents. A negative exponent indicates that the base should be in the denominator (inverse) of the fraction.

So, we can rewrite 6^-2 as 1/6^2.

Now, let's simplify 6^2. This means multiplying 6 by itself: 6 x 6 = 36.

Therefore, 6^-2 is equivalent to 1/36.

So, the correct answer is option 3: 1/36.

Answer 3

[AI-generated answer — Explain Bot]

To find the value of 6^-2, we can use the rule that states a negative exponent is equivalent to the reciprocal of the number with the positive exponent.

So, 6^-2 is equal to 1/6^2, which means the exponent is changed to positive.

Now, let's calculate 6^2 (6 raised to the power of 2).

6^2 = 6 × 6 = 36

Therefore, 6^-2 is equivalent to 1/36.

Out of the given options, the correct answer is 3. 1/36.