Question

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

Answer 1

C. 4^6 / 5^6

Explanation:

(4/5)^6

= 4^6 / 5^6

Answer 2

`\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`

~
`\frak{Amphitrite1040:)}`