The problem asks us to select the expressions that are equivalent to $6m + 5m$.

AlgebraSimplificationCombining Like TermsAlgebraic ExpressionsCommutative Property
2025/5/31

1. Problem Description

The problem asks us to select the expressions that are equivalent to 6m+5m6m + 5m.

2. Solution Steps

First, we simplify the given expression 6m+5m6m + 5m by combining like terms.
6m+5m=(6+5)m=11m6m + 5m = (6+5)m = 11m
Now, we compare this simplified expression with the options provided.
- 11m11m: This is the same as the simplified expression, so it is equivalent.
- m11m \cdot 11: This is equivalent to 11m11m due to the commutative property of multiplication.
- m11m^{11}: This is mm raised to the power of 11, which is not equivalent to 11m11m.
- 7m+5m7m + 5m: Combining these like terms gives (7+5)m=12m(7+5)m = 12m, which is not equal to 11m11m.
Therefore, the expressions equivalent to 6m+5m6m + 5m are 11m11m and m11m \cdot 11.

3. Final Answer

The expressions that are equivalent to 6m+5m6m + 5m are 11m11m and m11m \cdot 11.

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