Answer:
Option A, 1/6² is not equivalent to the expression
Step-by-step explanation:
Lets simplify the given expression first:
[tex]\frac{6^3}{6^6}[/tex] = [tex]\frac{216}{46656}[/tex] which simplifies to; [tex]\frac{1}{216}[/tex]
Now let's see why the first equation is not equal to the simplified expression:
- Option A, [tex]\frac{1}{6^2}[/tex] simplifies to [tex]\frac{1}{36}[/tex], this is not equal to the given expression
- Option B, Since there is a negative exponent, to make this to a positive exponent, we take the opposite reciprocal of the expression, which equals to [tex]\frac{1}{6^3}[/tex], which simplifies to [tex]\frac{1}{216}[/tex] which is equal to the expression above
- Option C, this is already the simplified form of the equation, thus it's equal to the expression given.
- Option D, we already know that [tex]\frac{1}{6^3}[/tex] simplifies to [tex]\frac{1}{216}[/tex], therefore it's equal.
As noticed all the expressions are congruent to the given expression BUT expression given in the first option, therefore they are not equal.
Hope this helps!
