You're on a roll — here are the calculations for the expressions: a) Calculate $\sqrt[3]{216} + 4^2 - \sqrt{16}$. Step 1: Evaluate the cube root, the exponent, and the square root. $$\sqrt[3]{216} = 6$$ $$4^2 = 16$$ $$\sqrt{16} = 4$$ Step 2: Substitute the values back into the expression. $$6 + 16 - 4$$ Step 3: Perform the addition. $$6 + 16 = 22$$ Step 4: Perform the subtraction. $$22 - 4 = 18$$ The simplified expression is: $$\boxed{\text{18}}$$ b) Calculate $9^2 - \sqrt[3]{27} - \sqrt{144}$. Step 1: Evaluate the exponent, the cube root, and the square root. $$9^2 = 81$$ $$\sqrt[3]{27} = 3$$ $$\sqrt{144} = 12$$ Step 2: Substitute the values back into the expression. $$81 - 3 - 12$$ Step 3: Perform the subtractions from left to right. $$81 - 3 = 78$$ $$78 - 12 = 66$$ The simplified expression is: $$\boxed{\text{66}}$$ c) Calculate $3^3 + 4^3 + \sqrt{25}$. Step 1: Evaluate the exponents and the square root. $$3^3 = 27$$ $$4^3 = 64$$ $$\sqrt{25} = 5$$ Step 2: Substitute the values back into the expression. $$27 + 64 + 5$$ Step 3: Perform the additions from left to right. $$27 + 64 = 91$$ $$91 + 5 = 96$$ The simplified expression is: $$\boxed{\text{96}}$$ d) Calculate $\sqrt{144} - 2^3 + \sqrt{49}$. Step 1: Evaluate the square roots and the exponent. $$\sqrt{144} = 12$$ $$2^3 = 8$$ $$\sqrt{49} = 7$$ Step 2: Substitute the values back into the expression. $$12 - 8 + 7$$ Step 3: Perform the subtraction. $$12 - 8 = 4$$ Step 4: Perform the addition. $$4 + 7 = 11$$ The simplified expression is: $$\boxed{\text{11}}$$ Got more? Send 'em!