1. $\left(\frac{1}{2}\right)^5 \times 4^2 = \frac{1}{32} \times 16 = \frac{16}{32} = \frac{1}{2}$
2. $0^3 + \left(\frac{1}{12}\right)^6 = 0 + \frac{1}{2985984} = \frac{1}{2985984}$
3. $0.1^2 \times 10^3 = 0.01 \times 1000 = 10$
4. $\left(\frac{3}{4}\right)^2 + \left(\frac{1}{2}\right)^3 = \frac{9}{16} + \frac{1}{8} = \frac{9}{16} + \frac{2}{16} = \frac{11}{16}$
5. $\left(\frac{3}{2}\right)^3 \div 0.5^2 = \frac{27}{8} \div 0.25 = \frac{27}{8} \div \frac{1}{4} = \frac{27}{8} \times 4 = \frac{108}{8} = 13.5$
6. $\left(\frac{3}{4}\right)^3 \times \left(\frac{2}{3}\right)^2 = \frac{27}{64} \times \frac{4}{9} = \frac{108}{576} = \frac{3}{16}$
7. $3^3 \times \left(\frac{2}{11}\right)^0 = 27 \times 1 = 27$
8. $5^3 \times 0.5^3 = 125 \times 0.125 = 15.625$
9. $9^2 + 1.2^1 = 81 + 1.2 = 82.2$
10. $\left(\frac{1}{2}\right)^2 - \left(\frac{1}{4}\right)^2 = \frac{1}{4} - \frac{1}{16} = \frac{4}{16} - \frac{1}{16} = \frac{3}{16}$
11. $2.1^2 - 3^2 = 4.41 - 9 = -4.59$
12. $0.5^1 + 0.8^2 = 0.5 + 0.64 = 1.14$
Parent Tip: Review the logic above to help your child master the concept of fractional exponent worksheet.
