Question

What is the value of A when we rewrite... (PLZ HELP QUICK)

Answer 1

`(133)/(8)`

Explanation:

Given,

`{( (5)/(2) )}^(x) + {( (5)/(2) )}^(x + 3)`

`= {( (5)/(2)) }^(x) + {( (5)/(2)) }^(x) * {( (5)/(2) )}^(3)`

`= ( (5)/(2) ) ^(x) (1 + {( (5)/(2) )}^(3)`

`= {( (5)/(2) )}^(x) (1 + (125)/(8) )`

`= {( (5)/(2) )}^(x) ( (1 * 8 + 125)/(8) )`

`= {( (5)/(2)) }^(x) ( (8 + 125)/(8) )`

`{( (5)/(2) )}^(x) ( (133)/(8) )`

Comparing with A •
`{( (5)/(2)) }^(x)`

A =
`(133)/(8)`

Hope this helps...

Good luck on your assignment...