Select the expressions equivalent to
⎛
⎜
⎜
⎝
⎞
⎟
⎟
⎠
−
2
5
k
5m
3
3

The expression given is:

\[
-\frac{2}{5}k \cdot \frac{5m^3}{3}
\]

Let’s simplify it step by step:

1. Multiply the two fractions:

\[
-\frac{2}{5} \cdot \frac{5}{3} = -\frac{2 \times 5}{5 \times 3} = -\frac{10}{15} = -\frac{2}{3}
\]

2. Now, multiply the result by \( k \) and \( m^3 \):

\[
-\frac{2}{3}k m^3
\]

Thus, the simplified expression is:

\[
-\frac{2}{3} k m^3
\]

This is the equivalent expression. If you're selecting equivalent expressions, you would look for ones that match or simplify to this form.

Do you have any questions, or would you like further details?

### Related Questions:
1. How can you multiply two fractions together?
2. What is the process for simplifying expressions with variables?
3. What happens when you multiply two negative fractions?
4. How do you multiply variables with exponents?
5. What is the result of dividing powers with the same base?

### Tip: 
When multiplying fractions, always check if you can simplify before multiplying to avoid large numerators and denominators!

Select the expressions equivalent to −(2/5)k(5m^3)/3

Learn how to simplify the expression −(2/5)k(5m^3)/3 step by step. This problem explores key algebraic concepts like multiplying fractions, constants, and variables with exponents. Suitable for students in Grades 8-10.

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