  We show that Lyapunov exponents and stability exponents are equal in the case
of product of $i.i.d$ isotropic(also known as bi-unitarily invariant) random
matrices. We also derive aysmptotic distribution of singular values and
eigenvalues of these product random matrices. Moreover, Lyapunov exponents are
distinct, unless the random matrices are random scalar multiples of Haar
unitary matrices or orthogonal matrices. As a corollary of above result, we
show probability that product of $n$ $i.i.d$ real isotropic random matrices has
all eigenvalues real goes to one as $n \to \infty$. Also, in the proof of a
lemma, we observe that a real (complex) Ginibre matrix can be written as
product of a random lower triangular matrix and an independent truncated Haar
orthogonal (unitary) matrix.
