$$\frac { 10 b ^ { 2 } } { 5 b ^ { 4 } } =$$
$\frac{2}{b^{2}}$
$$\left(10b^{2}\right)^{1}\times \frac{1}{5b^{4}}$$
$$10^{1}\left(b^{2}\right)^{1}\times \frac{1}{5}\times \frac{1}{b^{4}}$$
$$10^{1}\times \frac{1}{5}\left(b^{2}\right)^{1}\times \frac{1}{b^{4}}$$
$$10^{1}\times \frac{1}{5}b^{2}b^{4\left(-1\right)}$$
$$10^{1}\times \frac{1}{5}b^{2}b^{-4}$$
$$10^{1}\times \frac{1}{5}b^{2-4}$$
$$10^{1}\times \frac{1}{5}b^{-2}$$
$$10\times \frac{1}{5}b^{-2}$$
$$2b^{-2}$$
$$\frac{10^{1}b^{2}}{5^{1}b^{4}}$$
$$\frac{10^{1}b^{2-4}}{5^{1}}$$
$$\frac{10^{1}b^{-2}}{5^{1}}$$
Show Solution
Hide Solution
$-\frac{4}{b^{3}}$
$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{10}{5}b^{2-4})$$
$$\frac{\mathrm{d}}{\mathrm{d}b}(2b^{-2})$$
$$-2\times 2b^{-2-1}$$
$$-4b^{-3}$$
