Question

3.The simplest form of the expression (256/625) power -1/4
1 - 5/2
2- 2/5
3- 4/5
5- 5/4​

Answer 1

Answer:

$\frac{256}{625} = \frac{ {4}^{4} }{ {5}^{4} }$

So,

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

=

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

=

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