Question

Simplify without a negative exponent.



(3z4)2\left(3z^4\right)^2(3z
4
)
2

Answer 1

To simplify \((3z^4)^2\), you can use the power of a product property, which states that \((ab)^n = a^n \cdot b^n\).

Here's the step-by-step simplification:

1. Apply the power to both parts of the expression:
\[
(3z^4)^2 = 3^2 \cdot (z^4)^2
\]

2. Calculate \(3^2\):
\[
3^2 = 9
\]

3. Apply the power to \(z^4\) using the power of a power property, which says \((a^m)^n = a^{m \cdot n}\):
\[
(z^4)^2 = z^{4 \cdot 2} = z^8
\]

4. Combine the results:
\[
(3z^4)^2 = 9z^8
\]

So, the simplified expression is:
\[
\boxed{9z^8}
\]