Question

Which expression is not equivalent to

Answer 1

Answer:

A

Step-by-step explanation:

Because 6^3/6^6 is equivalent to 1/216.A is 1/36

Answer 2

Answer:

Option A, 1/6² is not equivalent to the expression

Step-by-step explanation:

Lets simplify the given expression first:

$\frac{6^3}{6^6}$ = $\frac{216}{46656}$ which simplifies to; $\frac{1}{216}$

Now let's see why the first equation is not equal to the simplified expression:

• Option A, $\frac{1}{6^2}$ simplifies to $\frac{1}{36}$, 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 $\frac{1}{6^3}$, which simplifies to $\frac{1}{216}$ 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 $\frac{1}{6^3}$ simplifies to $\frac{1}{216}$, 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!