To simplify the expression \((−h^4)^5\), we need to apply the power rule for exponents, which states that \((a^m)^n = a^{m \cdot n}\).
Let's apply this rule to the given expression:
\[
(−h^4)^5 = (−1 \cdot h^4)^5
\]
First, simplify the inside of the parenthesis, noting that \(-1\) raised to any odd power remains \(-1\):
\[
(−1)^5 \cdot (h^4)^5 = -1 \cdot h^{4 \cdot 5}
\]
Next, multiply the exponents for \(h\):
\[
-1 \cdot h^{20} = -h^{20}
\]
So, the simplified expression is:
\[
- h^{20}
\]
Therefore, the correct choice from the options provided is:
\(\boxed{-h^{20}}\).
10.
Simplify the expression.
(−h4)5
−h9
−h20
h1
h20
1 answer