The problem asks us to find an expression equivalent to $6(6f)$.

AlgebraAlgebraic ExpressionsSimplificationAssociative Property
2025/5/31

1. Problem Description

The problem asks us to find an expression equivalent to 6(6f)6(6f).

2. Solution Steps

We are given the expression 6(6f)6(6f).
Using the associative property of multiplication, we can rewrite this as (66)f(6 \cdot 6)f.
Since 66=366 \cdot 6 = 36, the expression simplifies to 36f36f.
We check the answer choices:
6f+66f + 6 is not equal to 36f36f.
f+36f + 36 is not equal to 36f36f.
f+12f + 12 is not equal to 36f36f.
6(f6)6(f \cdot 6) can be rewritten as 6(6f)=(66)f=36f6(6f) = (6\cdot 6)f = 36f.
Associative Property of Multiplication:
a(bc)=(ab)ca(bc) = (ab)c

3. Final Answer

6(f.6)

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