Final answer:
The expression 3⁵m/3³m simplifies to 9 after subtracting the exponents and canceling out the 'm' for meters in both the numerator and denominator. This procedure follows the properties of exponents.
Step-by-step explanation:
The question you're asking is about simplifying the expression 3⁵m/3³m and determining if it is equivalent to another expression. To simplify this, we can use the properties of exponents.
When dividing exponential terms with the same base, you subtract the exponents. So, if we have aⁿ / a³, the result is aⁿ⁻³ or a⁴. Applying this rule to our expression:
- 3⁵m/3³m => 3² (since 5 - 3 = 2)
Now, we need to address the meters (m) in the numerator and the denominator. Since they are the same in both places, they cancel each other out. Therefore, the expression simplifies to:
Taking this result, we can say that 3⁵m/3³m is equivalent to 9. Any additional expressions provided should also simplify to 9 to be considered equivalent to the original expression.