Which of the following is equal to the fraction below? (4/5)^6 A. 6(4/5) B. 4^6/5 C. 4^6/5^6 D. 24/30

Question 1

Which of the following is equal to the fraction below?

(4/5)^6

A. 6(4/5)

B. 4^6/5

C. 4^6/5^6

D. 24/30

Question 2

Answer:

C. 4^6 / 5^6

Explanation:

(4/5)^6

= 4^6 / 5^6

Question 3

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathbf{((4)/(5))^6}$

$\huge\textbf{Simplify it:}$

$\mathbf{((4)/(5))^6}$

$\mathbf{= (4)/(5)*(4)/(5)*(4)/(5)* (4)/(5)*(4)/(5)*(4)/(5)}$

$\mathbf{= (4*4*4*4*4*4)/(5*5*5*5*5*5)}$

$\mathbf{= (16*16*16)/(25*25*25)}$

$\mathbf{= (256 * 16)/(625*25)}$

$\mathbf{= (4,096)/(15,625)}$

$\mathbf{\approx (4^6)/(5^6)}$

$\huge\text{Therefore, your answer should be: }$

$\huge\boxed{\frak{Option\ C. (4^6)/(5^6)}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~
$\frak{Amphitrite1040:)}$

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