11. The mass of the Earth is \( \frac{1}{95} \) of the mass of the planet Saturn. The mass of the Earth is \( 5.97 \times 10^{24} \) kilograms. Calculate the mass of the planet Saturn, giving your answer in standard form, correct to 2 significant figures.

To find the mass of the planet Saturn, we can use the relationship given in the problem: \[ \text{Mass of Earth} = \frac{1}{95} \times \text{Mass of Saturn} \] We can rearrange this equation to solve for the mass of Saturn: \[ \text{Mass of Saturn} = 95 \times \text{Mass of Earth} \] Substituting the mass of the Earth: \[ \text{Mass of Saturn} = 95 \times (5.97 \times 10^{24} \text{ kg}) \] Now, we perform the multiplication: \[ \text{Mass of Saturn} = 95 \times 5.97 \times 10^{24} \] Calculating \( 95 \times 5.97 \): \[ 95 \times 5.97 = 566.5 \] Now, we can express the mass of Saturn: \[ \text{Mass of Saturn} = 566.5 \times 10^{24} \text{ kg} \] To express this in standard form, we convert \( 566.5 \) to \( 5.665 \times 10^{2} \): \[ \text{Mass of Saturn} = 5.665 \times 10^{2} \times 10^{24} = 5.665 \times 10^{26} \text{ kg} \] Now, rounding \( 5.665 \) to 2 significant figures gives us \( 5.7 \): \[ \text{Mass of Saturn} \approx 5.7 \times 10^{26} \text{ kg} \] Thus, the mass of the planet Saturn, in standard form and correct to 2 significant figures, is: \[ \boxed{5.7 \times 10^{26}} \text{ kg} \]