Hey Ms — ready when you are. Step 1: Evaluate $\sqrt{63^4}$. We use the property that $\sqrt{x^n} = x^{n/2}$. $$ \sqrt{63^4} = 63^{\frac{4}{2}} $$ $$ = 63^2 $$ Step 2: Calculate $63^2$. $$ 63^2 = 63 \times 63 = 3969 $$ The evaluated expression is: $$ \boxed{\text{3969}} $$ Step 1: Simplify $\sqrt{\frac{297}{64}}$. We can separate the square root into the numerator and the denominator: $$ \sqrt{\frac{297}{64}} = \frac{\sqrt{297}}{\sqrt{64}} $$ Step 2: Simplify the denominator. $$ \sqrt{64} = 8 $$ Step 3: Simplify the numerator $\sqrt{297}$. Find the prime factors of 297: $$ 297 = 3 \times 99 = 3 \times 9 \times 11 = 3 \times 3^2 \times 11 $$ Now, take the square root: $$ \sqrt{297} = \sqrt{3^2 \times 3 \times 11} = \sqrt{3^2} \times \sqrt{3 \times 11} = 3\sqrt{33} $$ Step 4: Combine the simplified numerator and denominator. $$ \frac{\sqrt{297}}{\sqrt{64}} = \frac{3\sqrt{33}}{8} $$ The simplified expression is: $$ \boxed{\frac{3\sqrt{33}}{8}} $$ Send me the next one 📸