Answer :
To solve the problem, we start by recognizing that when a fraction is raised to a power, both the numerator and the denominator are raised to that power. Therefore, we have:
[tex]$$
\left(\frac{4}{5}\right)^6 = \frac{4^6}{5^6}.
$$[/tex]
Now, comparing this result to the given options, we see that option D is:
[tex]$$
\frac{4^6}{5^6},
$$[/tex]
which is exactly the same as the expression we derived.
Thus, the correct answer is option D.
[tex]$$
\left(\frac{4}{5}\right)^6 = \frac{4^6}{5^6}.
$$[/tex]
Now, comparing this result to the given options, we see that option D is:
[tex]$$
\frac{4^6}{5^6},
$$[/tex]
which is exactly the same as the expression we derived.
Thus, the correct answer is option D.
