Question

Develop the Negative Power Rule for exponents to continue the pattern:

6'2=36
6'1=6
6'0=1
6'−1=16
6'−2=?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To develop the Negative Power Rule for exponents, we can observe the pattern:

6'^2 = 36
6'^1 = 6
6'^0 = 1
6'^(-1) = 1/6
6'^(-2) = 1/(6^2)

Based on this pattern, we can conclude that when the base is raised to a negative exponent, the result is equal to 1 divided by the base raised to the absolute value of the exponent. Therefore:

6'^(-2) = 1/(6^2)
6'^(-2) = 1/36