Answer:
B. [tex]\frac{1}{3^3}[/tex]
Step-by-step explanation:
We have been given an expression [tex]3^{-3}=\frac{1}{27}[/tex]. We are asked to find an equivalent expression to [tex]3^{-3}[/tex].
We will use exponent properties to solve our given problem.
We will use exponent property [tex]a^{-b}=\frac{1}{a^b}[/tex] to rewrite our given expression.
Upon comparing our expression with exponent property, we can see that [tex]a=3[/tex] and [tex]-b=-3[/tex].
[tex]3^{-3}=\frac{1}{3^3}[/tex]
Therefore, expression [tex]\frac{1}{3^3}[/tex] in equivalent to [tex]3^{-3}[/tex] and option B is the correct choice.
