b) $$ \left(2 \cdot 10^{2}\right)^{-1} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ \left(2 \cdot 10^{2}\right)^{-1} $$, follow these steps:

1. **Evaluate the expression inside the parentheses:**
   $$
   2 \cdot 10^{2} = 2 \cdot 100 = 200
   $$

2. **Apply the negative exponent:**
   $$
   \left(200\right)^{-1} = \frac{1}{200}
   $$

So, the simplified form of $$ \left(2 \cdot 10^{2}\right)^{-1} $$ is:

$$
\frac{1}{200}
$$

**Decimal Representation:**
$$
\frac{1}{200} = 0.005
$$

**Final Answer:**
$$
\frac{1}{200}
$$
The simplified form of $$ \left(2 \cdot 10^{2}\right)^{-1} $$ is $$ \frac{1}{200} $$ or 0.005.

b)