Question: What is the relationship between $5.34 \times 10^5$ and $5.34 \times 10^{-2}$?
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$5.34 \times 10^5$ is Choose... times Choose... than $5.34 \times 10^{-2}$.
1. **State the problem:** We want to find how many times $5.34 \times 10^5$ is larger or smaller than $5.34 \times 10^{-2}$.
2. **Formula used:** To find the factor by which one number is larger than another, divide the larger number by the smaller number:
$$\text{Factor} = \frac{5.34 \times 10^5}{5.34 \times 10^{-2}}$$
3. **Simplify the fraction:**
$$\frac{5.34 \times 10^5}{5.34 \times 10^{-2}} = \frac{\cancel{5.34} \times 10^5}{\cancel{5.34} \times 10^{-2}} = 10^{5 - (-2)} = 10^{5 + 2} = 10^7$$
4. **Interpretation:** Since the factor is $10^7$, this means $5.34 \times 10^5$ is $10^7$ times larger than $5.34 \times 10^{-2}$.
**Final answer:**
$5.34 \times 10^5$ is $10^7$ times larger than $5.34 \times 10^{-2}$.