$$( \frac { 256 a ^ { 16 } } { 816 ^ { 4 } } ) ^ { - 3 / 4 }$$
$\frac{8489664}{a^{12}}$
$$\left(\frac{256a^{16}}{443364212736}\right)^{-\frac{3}{4}}$$
$$\left(\frac{1}{1731891456}a^{16}\right)^{-\frac{3}{4}}$$
$$\left(\frac{1}{1731891456}\right)^{-\frac{3}{4}}\left(a^{16}\right)^{-\frac{3}{4}}$$
$$\left(\frac{1}{1731891456}\right)^{-\frac{3}{4}}a^{-12}$$
$$8489664a^{-12}$$
Show Solution
Hide Solution
$-\frac{101875968}{a^{13}}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(\frac{256a^{16}}{443364212736}\right)^{-\frac{3}{4}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(\frac{1}{1731891456}a^{16}\right)^{-\frac{3}{4}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(\frac{1}{1731891456}\right)^{-\frac{3}{4}}\left(a^{16}\right)^{-\frac{3}{4}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(\frac{1}{1731891456}\right)^{-\frac{3}{4}}a^{-12})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(8489664a^{-12})$$
$$-12\times 8489664a^{-12-1}$$
$$-101875968a^{-12-1}$$
$$-101875968a^{-13}$$
