Answer:
C. 1/27
E. (1/3)^3
F. 3^(-3)
Explanation:
We have a fraction where the numerator and the denominator have the same base. Therefore, we can subtract the exponents to get:
[tex]\frac{3^5}{3^8}=3^{5-8}=3^{-3}[/tex]
On the other hand, a negative exponent is also equivalent to:
[tex]3^{-3}=(\frac{1}{3})^3[/tex]
Solving this expression, we get
[tex](\frac{1}{3})^3=\frac{1^3}{3^3}=\frac{1}{27}[/tex]
Therefore, the answers are:
C. 1/27
E. (1/3)^3
F. 3^(-3)
