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Answer :
Answer:
C. 4^6 / 5^6
Step-by-step explanation:
(4/5)^6
= 4^6 / 5^6
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Rewritten by : Barada
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{(\dfrac{4}{5})^6}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{(\dfrac{4}{5})^6}[/tex]
[tex]\mathbf{= \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}\times \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}}[/tex]
[tex]\mathbf{= \dfrac{4\times4\times4\times4\times4\times4}{5\times5\times5\times5\times5\times5}}[/tex]
[tex]\mathbf{= \dfrac{16\times16\times16}{25\times25\times25}}[/tex]
[tex]\mathbf{= \dfrac{256 \times 16}{625\times25}}[/tex]
[tex]\mathbf{= \dfrac{4,096}{15,625}}[/tex]
[tex]\mathbf{\approx \dfrac{4^6}{5^6}}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\frak{Option\ C. \dfrac{4^6}{5^6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
