1) Simplity $$ \frac{1}{7^{-2}} $$

Question

UpStudy AI · Accepted Answer

1. Start with the expression:
   $$
   \frac{1}{7^{-2}}
   $$

2. Recall that a negative exponent means taking the reciprocal:
   $$
   7^{-2} = \frac{1}{7^2}
   $$

3. Substituting this into the expression, we have:
   $$
   \frac{1}{\frac{1}{7^2}}
   $$

4. Dividing by a fraction is equivalent to multiplying by its reciprocal:
   $$
   \frac{1}{\frac{1}{7^2}} = 7^2
   $$

5. Finally, compute the power:
   $$
   7^2 = 49
   $$

So, the simplified expression is:
$$
\frac{1}{7^{-2}} = 49
$$
$$ \frac{1}{7^{-2}} = 49 $$

1) Simplity \( \frac{1}{7^{-2}} \)