Question

Help me with my math please (2 -1/2 * 7 1/3)^6

Answer 1

Answer:

21 316/729

Key rules to solve:

• $\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$
• $\frac{1}{\frac{b}{c}}=\frac{c}{b}$

• Convert mixed numbers to improper fractions

Step-by-step explanation:

$\left(\frac{2-1}{2\cdot \:7\frac{1}{3}}\right)^6$

$=\left(\frac{2-1}{2\cdot \frac{22}{3}}\right)^6$

$=\frac{\left(2-1\right)^6}{\left(2\cdot \frac{22}{3}\right)^6}$

$=\frac{1}{\left(2\cdot \frac{22}{3}\right)^6}$

$=\frac{1}{\frac{7256313856}{729}}$

$\rightarrow 21 \frac{316}{729}$