Question
Fully simplify (z^7)^0*z^8
Answers
GPT-4o mini
To simplify the expression \((z^7)^0 \cdot z^8\), we can use the following rules of exponents:
1. Any non-zero number raised to the power of zero is 1, so \((z^7)^0 = 1\).
2. We can then multiply this result by \(z^8\) to get the final result.
So we have:
\[
(z^7)^0 \cdot z^8 = 1 \cdot z^8 = z^8
\]
Thus, the fully simplified expression is:
\[
\boxed{z^8}
\]
1. Any non-zero number raised to the power of zero is 1, so \((z^7)^0 = 1\).
2. We can then multiply this result by \(z^8\) to get the final result.
So we have:
\[
(z^7)^0 \cdot z^8 = 1 \cdot z^8 = z^8
\]
Thus, the fully simplified expression is:
\[
\boxed{z^8}
\]