Question

Simplify (-4x)^5 divide (-4x) ^8

Answer 1

Answer:

$\red {\frac{(-4x)^{5}}{(-4x)^{8}}}\green {= - \frac{1}{64x^{3}}}$

Step-by-step explanation:

$\frac{(-4x)^{5}}{(-4x)^{8}}$

$= \frac{1}{(-4x)^{8-5}}$

$\boxed { \pink { \frac{a^{m}}{a^{n}} = \frac{1}{a^{m-n}}}}$

$= \frac{1}{(-4x)}^{3}$

$= - \frac{1}{64x^{3}}$

Therefore.,

$\red {\frac{(-4x)^{5}}{(-4x)^{8}}}\green {= - \frac{1}{64x^{3}}}$

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