Question

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:

Answer 1

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