1 a. $\left(\frac{2}{3}\right)^2 / \left(\frac{1}{2}\right)^6 = \frac{4}{9} / \frac{1}{64} = \frac{4}{9} \times 64 = \frac{256}{9}$
1 b. $\left(\frac{5}{7}\right)^2 \times \left(\frac{5}{7}\right)^1 = \left(\frac{5}{7}\right)^{2+1} = \left(\frac{5}{7}\right)^3 = \frac{125}{343}$
2 a. $0.6^1 \times 0.2^3 = 0.6 \times 0.008 = 0.0048$
2 b. $\left(\frac{2}{5}\right)^3 \times \left(\frac{2}{5}\right)^2 = \left(\frac{2}{5}\right)^{3+2} = \left(\frac{2}{5}\right)^5 = \frac{32}{3125}$
3 a. $1^{99} - 0.6^2 = 1 - 0.36 = 0.64$
3 b. $0.2^1 \times \left(\frac{1}{8}\right)^2 = 0.2 \times \frac{1}{64} = \frac{1}{5} \times \frac{1}{64} = \frac{1}{320}$
4 a. $\left(\frac{1}{2}\right)^2 / \left(\frac{5}{8}\right)^1 = \frac{1}{4} / \frac{5}{8} = \frac{1}{4} \times \frac{8}{5} = \frac{8}{20} = \frac{2}{5}$
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 exponent worksheet for 6th grade.
