Answer:
The correct answer option is d. 9.
Step-by-step explanation:
We are given an expression [tex]27^{\frac{2}{3} }[/tex] and we are supposed to simplify it.
We can also write [tex]27^{\frac{2}{3} }[/tex] as [tex](3^3)^{\frac{2}{3} }[/tex].
We know the power rule [tex](a^m)^n=a^{mn}[/tex] which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:
[tex](3^3)^{\frac{2}{3} }\\3^{3.\frac{2}{3}[/tex]
3 gets cancelled by 3 so we are left with:
[tex]3^2[/tex] [tex]=9[/tex]
Therefore, the correct answer option is d. 9.
