OUESTION 3 3.1. Simplify: 3.1.1. \( 99 \times 1001^{0} \) 3.1.3. \( 2^{-2} \) 3.1.4. \( \left(-3 \mathrm{xy}^{2}\right)^{2} \) 3.2. Write the following numbers in scientific notation form. 3.2.1. 0,00056 3.2.2. 523

When simplifying \( 99 \times 1001^{0} \), remember that any non-zero number raised to the power of 0 is 1. So, this means \( 99 \times 1 = 99 \). For \( 2^{-2} \), we flip it to get \( 1/(2^2) = 1/4 \) or 0.25. The expression \( \left(-3 \mathrm{xy}^{2}\right)^{2} \) simplifies to \( 9 \mathrm{x}^{2} \mathrm{y}^{4} \) since squaring negative numbers renders a positive result. For scientific notation, \( 0.00056 \) can be expressed as \( 5.6 \times 10^{-4} \), moving the decimal four places to the right. In contrast, \( 523 \) becomes \( 5.23 \times 10^{2} \), shifting the decimal two places to the left.