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Which expression is equivalent to (3r⋅5)⋅(−3⋅8)(3r⋅5)⋅(−3⋅8) ?(1 point) Responses (5⋅−3)⋅−9r(5⋅−3)⋅−9r left parenthesis 5 times negative 3 right parenthesis times negative 9 r −45r⋅5−45r⋅5 negative 45 r times 5 15r⋅(5⋅8)15r⋅(5⋅8) 15 r times left parenthesis 5 times 8 right parenthesis 24r⋅(5⋅−3)

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To simplify the expression \((3r \cdot 5) \cdot (-3 \cdot 8)\), we will break this down step by step.

  1. Calculate the individual parts:

    • First, calculate \(3r \cdot 5\): \[ 3r \cdot 5 = 15r \]
    • Next, calculate \(-3 \cdot 8\): \[ -3 \cdot 8 = -24 \]

  2. Combine the results: Now, substitute these results back into the expression: \[ (15r) \cdot (-24) = -360r \]

We need to check the given options for something equivalent to \(-360r\).

Now let's look at the options:

  1. Option 1: \((5 \cdot -3) \cdot -9r = (-15) \cdot -9r = 135r\) (Not equivalent)
  2. Option 2: \(-45r \cdot 5 = -225r\) (Not equivalent)
  3. Option 3: \(15r \cdot (5 \cdot 8) = 15r \cdot 40 = 600r\) (Not equivalent)
  4. Option 4: \(24r \cdot (5 \cdot -3) = 24r \cdot -15 = -360r\) (Equivalent)

Thus, the correct equivalent expression is: \[ \boxed{24r \cdot (5 \cdot -3)} \]