$$(ab)^{-4}(ab)^{9}$$
$\left(ab\right)^{5}$
$$\left(a^{1}b^{1}\right)^{-4}\left(a^{1}b^{1}\right)^{9}$$
$$\left(a^{1}\right)^{-4}\left(b^{1}\right)^{-4}\left(a^{1}\right)^{9}\left(b^{1}\right)^{9}$$
$$\left(a^{1}\right)^{-4}\left(a^{1}\right)^{9}\left(b^{1}\right)^{-4}\left(b^{1}\right)^{9}$$
$$a^{-4}a^{9}b^{-4}b^{9}$$
$$a^{-4+9}b^{-4+9}$$
$$a^{5}b^{-4+9}$$
$$a^{5}b^{5}$$
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