Answer:
B. [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}=\frac{64}{125}[/tex]
Step-by-step explanation:
(4/5) is raised to a numerical power of 3.
- This is NOT [tex]\frac{4}{5}(3)[/tex] and NOT [tex]\frac{4}{5}+\frac{4}{5}+\frac{4}{5}[/tex].
Instead, (4/5) is being multiplied by itself 3 times.
- This is correctly shown by: [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}[/tex]
- This can be solved by multiplying the numerators and denominators, which also looks like this: [tex]4^3=64[/tex] and [tex]5^3=125[/tex].
- The exact form is: [tex]\frac{64}{125}[/tex].
The complete expansion is written as: [tex]\frac{4}{5}\cdot\frac{4}{5} \cdot\frac{4}{5}=\frac{64}{125}[/tex]
You have the correct option selected.
