To condense the expression \(-3xz \cdot -3xz \cdot -3xz \cdot -3xz \cdot -3xz\), you can represent it using exponents.
- Identify the base: The base is \(-3xz\).
- 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 \((-3xz)^5\):
-
Raise each part of the expression to the 5th power: \[ (-3)^5 \cdot (x^5) \cdot (z^5) \]
-
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: \(-243x^5z^5\)