Answer:
21 316/729
Key rules to solve:
- [tex]\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
- [tex]\frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
- Convert mixed numbers to improper fractions
Step-by-step explanation:
[tex]\left(\frac{2-1}{2\cdot \:7\frac{1}{3}}\right)^6[/tex]
[tex]=\left(\frac{2-1}{2\cdot \frac{22}{3}}\right)^6[/tex]
[tex]=\frac{\left(2-1\right)^6}{\left(2\cdot \frac{22}{3}\right)^6}[/tex]
[tex]=\frac{1}{\left(2\cdot \frac{22}{3}\right)^6}[/tex]
[tex]=\frac{1}{\frac{7256313856}{729}}[/tex]
[tex]\rightarrow 21 \frac{316}{729}[/tex]
