1. Express $\frac{12}{5}$ as a mixed fraction. - Divide 12 by 5: $12 \div 5 = 2$ remainder $2$. - So, $\frac{12}{5} = 2 \frac{2}{5}$. 2. Evaluate $3^4$. - $3^4 = 3 \times 3 \times 3 \times 3 = 81$. 3. Evaluate $5^0$. - Any nonzero number to the zero power is 1: $5^0 = 1$. 4. Evaluate $(-3)^2$. - $(-3)^2 = (-3) \times (-3) = 9$. 5. Evaluate $-4^2$. - By order of operations, exponent first: $4^2 = 16$. - Then apply the negative sign: $-4^2 = -16$. 6. Simplify $a^4 \times a^3$. - Add exponents when multiplying same base: $a^{4+3} = a^7$. 7. Simplify $\frac{t^9}{t^5}$. - Subtract exponents when dividing same base: $t^{9-5} = t^4$. 8. Simplify $p(p^2)^3$. - Apply power to power: $(p^2)^3 = p^{2 \times 3} = p^6$. - Multiply bases: $p \times p^6 = p^{1+6} = p^7$. 9. Simplify $(3x^2)^3$. - Apply power to each factor: $3^3 = 27$, $(x^2)^3 = x^{2 \times 3} = x^6$. - So, $(3x^2)^3 = 27x^6$. 10. Calculate $3 - \frac{2}{3}$. - Convert 3 to fraction: $\frac{9}{3}$. - Subtract: $\frac{9}{3} - \frac{2}{3} = \frac{7}{3}$. 11. Calculate $-\frac{2}{3} \div \frac{1}{7}$. - Division of fractions: multiply by reciprocal. - $-\frac{2}{3} \times \frac{7}{1} = -\frac{14}{3}$. Final answers: 1. $2 \frac{2}{5}$ 2. $81$ 3. $1$ 4. $9$ 5. $-16$ 6. $a^7$ 7. $t^4$ 8. $p^7$ 9. $27x^6$ 10. $\frac{7}{3}$ 11. $-\frac{14}{3}$