Rewrite exponential expressions problem?

What is the value of A when we rewrite

(5/2)^x + (5/2)^(x + 3) as A *(5/2)^x

A = ?

help I'm not familiar with this..

Update:

My answer is A = 133/8

I'm I correct?

1 Answer

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  • JOHN
    Lv 7
    1 month ago
    Best Answer

    (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]

    = (133/8)(5/2)^x.

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