1 a. $(\frac{2}{3})^2 / (\frac{1}{2})^6 = \frac{4}{9} / \frac{1}{64} = \frac{4}{9} \times 64 = \frac{256}{9}$
1 b. $(\frac{5}{7})^2 \times (\frac{5}{7})^1 = (\frac{5}{7})^{2+1} = (\frac{5}{7})^3 = \frac{125}{343}$
2 a. $0.6^1 \times 0.2^3 = 0.6 \times 0.008 = 0.0048$
2 b. $(\frac{2}{5})^3 \times (\frac{2}{5})^2 = (\frac{2}{5})^{3+2} = (\frac{2}{5})^5 = \frac{32}{3125}$
3 a. $1^{99} - 0.6^2 = 1 - 0.36 = 0.64$
3 b. $0.2^1 \times (\frac{1}{8})^2 = 0.2 \times \frac{1}{64} = \frac{1}{5} \times \frac{1}{64} = \frac{1}{320}$
4 a. $(\frac{1}{2})^2 / (\frac{5}{8})^1 = \frac{1}{4} / \frac{5}{8} = \frac{1}{4} \times \frac{8}{5} = \frac{8}{20} = \frac{2}{5}$
4 b. $7^2 - 0.5^3 = 49 - 0.125 = 48.875$
5 a. $3^1 / 0.8^2 = 3 / 0.64 = \frac{3}{0.64} = \frac{300}{64} = \frac{75}{16}$
5 b. $0.7^2 + 0.9^1 = 0.49 + 0.9 = 1.39$
Parent Tip: Review the logic above to help your child master the concept of math algebra exponents worksheet.
