  In this paper, we consider a well-established magnetic Penrose process (MPP)
and bring out its impact on the efficiency of energy extraction from higher
dimensional (i.e., $D>4$) black holes. We derive the field equations of motion
and determine the expressions for the energy efficiency of energy extraction
for the case of higher dimensional black holes. We also examine the efficiency
of energy extraction from black holes with $(n-1)$ and $n$ rotations. We
demonstrate that black holes with $(n-1)$ rotations has only one horizon,
resulting in infinitely large energy efficiency even without MPP. On the other
hand, for black holes with $n$ rotations in $D>4$, the energy efficiency is not
infinitely large, but the efficiency can be significantly enhanced by MPP. This
enhancement allows for arbitrarily large energy efficiency. We find that the
efficiency of energy extraction can exceed over $>100\%$ for $D=5,6$ and
$D=7,8$ dimensions. Interestingly, for rotation parameters near the extremal
value, the energy efficiency remains above $100 \%$ in $D=7,8$ compared to
$D=5,6$. MPP can eventually make higher dimensional black holes more efficient
even with $n$ rotations.
