1. **Stating the problem:** We need to find the value of $n$ in the equation $5.62 \times 10^n = 0.0562$. 2. **Formula and rules:** Scientific notation expresses numbers as $a \times 10^n$ where $1 \leq |a| < 10$ and $n$ is an integer. 3. **Rewrite the right side in scientific notation:** $0.0562 = 5.62 \times 10^{-2}$ because moving the decimal point two places to the right converts $0.0562$ to $5.62$. 4. **Set the expressions equal:** $5.62 \times 10^n = 5.62 \times 10^{-2}$ 5. **Since the coefficients are equal, equate the exponents:** $$n = -2$$ 6. **Answer:** The value of $n$ is $-2$. This means $5.62 \times 10^{-2} = 0.0562$.