Use multiplication to expand the expression below. Then compute and/or simplify.
left parenthesis, 4, x, z, right parenthesis, to the power 5
(4xz)
5

To expand \((4xz)^5\) using multiplication, we can raise each factor inside the parentheses to the power of 5:

\[
(4xz)^5 = (4^5)(x^5)(z^5)
\]

Now, calculate each term:

\[
4^5 = 1024
\]

Thus, the expanded expression is:

\[
(4xz)^5 = 1024x^5z^5
\]

The simplified expression is:

\[
1024x^5z^5
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Expand \((2xy)^4\) using multiplication.
2. Simplify \((3a^2b)^3\).
3. What is \(5^4\)?
4. How do you expand \((6mn)^2\)?
5. Simplify \((7pqr)^3\).

**Tip:** When raising a product to a power, apply the exponent to each factor inside the parentheses individually.

Use multiplication to expand the expression below. Then compute and/or simplify. (4xz)^5

Learn how to expand and simplify the expression (4xz)^5 by applying exponent rules to each factor. This step-by-step guide includes multiplying variables and computing powers, suitable for students in Grades 8-10.

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