Question

simplify (-4/5)^9/(-4/5)^10​

Answer 1

Answer:

$-\frac{5}{4}$

Step-by-step explanation:

We are given two fractions and are asked to simplify it.

So

$(-\frac{4}{5} )^9 / (-\frac{4}{5} )^{10}$

We can follow the exponent rule of subtracting them since both fractions are the same value.

$(-\frac{4}{5} )^{9-10}$

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

Now do the negative exponent rule :

$\frac{1}{-\frac{4}{5} }$

Move the negative in between the fraction :

$-\frac{1}{\frac{4}{5} }$

And apply the fraction switcharoo :

$\frac{5}{4}$