Which expression is equivalent to st 6

General
1

which expression is equivalent to st 6

2

Which expression is equivalent to st 6?

Answer: To determine which expression is equivalent to (st \cdot 6), let’s break it down using algebraic manipulation:

Given expression is (st \cdot 6).

Equivalent Expressions:

  1. Commutative Property of Multiplication:
    The commutative property states that the order of multiplication does not affect the result. Therefore,

    st \cdot 6 = 6 \cdot st

    This means (6st) is equivalent to (st \cdot 6).

  2. Associative Property of Multiplication:
    The associative property states that when three or more numbers are multiplied, the product is the same regardless of how the numbers are grouped. Consequently,

    (s \cdot t) \cdot 6 = s \cdot (t \cdot 6)

    This implies both expressions on either side of the equation are also equivalent.

  3. Identity for Variables and Constants:
    When simplified, these expressions could appear in various forms while still being equivalent. For example:

    6(st)

    The multiplication within the parentheses is computed first, followed by multiplication by 6.

Conclusion:

The expressions (6st) and (st \cdot 6) are equivalent due to the commutative property of multiplication. Any of these forms can be used interchangeably:

  • 6st
  • st \cdot 6
  • 6 \cdot st

Therefore, (6st) is an equivalent expression to (st \cdot 6).

If you have specific multiple-choice options provided in a textbook or lecture notes, look for the one that matches (6st). If the context involves additional constraints or variables, those might narrow down the equivalent form further.