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


Sagot :

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]