Use one exponent to condense the expression below. Then compute and/or simplify. minus, 3, x, z, dot, minus, 3, x, z, dot, minus, 3, x, z, dot, minus, 3, x, z, dot, minus, 3, x, z −3xz⋅−3xz⋅−3xz⋅−3xz⋅−3xz Answer Attempt 1 out of 2 Type the base, then use the a, to the power ba b button or type the ^ symbol on your keyboard for the exponent. Condensed form: Answer:

1 answer

To condense the expression \(-3xz \cdot -3xz \cdot -3xz \cdot -3xz \cdot -3xz\), you can represent it using exponents.

  1. Identify the base: The base is \(-3xz\).
  2. Count the number of times the base is multiplied: There are 5 instances of \(-3xz\).

So, the condensed form of the expression is: \[ (-3xz)^5 \]

Now, let’s simplify this expression further.

To compute \((-3xz)^5\):

  1. Raise each part of the expression to the 5th power: \[ (-3)^5 \cdot (x^5) \cdot (z^5) \]

  2. Calculate \((-3)^5\): \((-3)^5 = -243\)

Now, putting it all together, we have: \[ (-3xz)^5 = -243x^5z^5 \]

Therefore, the simplified expression is: \[ -243x^5z^5 \]

Condensed form: \((-3xz)^5\)

Answer: \(-243x^5z^5\)