6^-2 over 6^0

Answer 1

To simplify the expression 6^-2 / 6^0, we need to apply the rule of negative exponents and any number raised to the power of 0.

First, let's simplify 6^-2. By using the rule of a negative exponent, we can rewrite 6^-2 as 1 / 6^2.

Now let's focus on 6^0. Any number raised to the power of 0 is always equal to 1.

Therefore, 6^0 is equal to 1.

Now we can substitute these values back into the expression:

1 / 6^2 / 1

Simplifying further:

1 / 36 / 1

Since dividing by 1 doesn't change the value, we can rewrite the expression as:

1 / 36

Therefore, 6^-2 / 6^0 simplifies to 1 / 36.