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

Answer:

C. 4^6 / 5^6

Step-by-step explanation:

(4/5)^6

= 4^6 / 5^6

Answer 2

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

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

$\huge\textbf{Simplify it:}$

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

$\mathbf{= \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}\times \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}}$

$\mathbf{= \dfrac{4\times4\times4\times4\times4\times4}{5\times5\times5\times5\times5\times5}}$

$\mathbf{= \dfrac{16\times16\times16}{25\times25\times25}}$

$\mathbf{= \dfrac{256 \times 16}{625\times25}}$

$\mathbf{= \dfrac{4,096}{15,625}}$

$\mathbf{\approx \dfrac{4^6}{5^6}}$

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

$\huge\boxed{\frak{Option\ C. \dfrac{4^6}{5^6}}}\huge\checkmark$

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

~$\frak{Amphitrite1040:)}$