Question

simplify (5^(n+2)- 6.5^(n+1))/(13.5^n-2.5^(n+1))

Answer 1

5^n+2-6×5^n+1/13×5^n-2×5^n+1

=5^n+1(5-6)/5^n(13-2×5)

=5^n+1.(-1)/5^n.(13-10)

=-1/3 ×5^n+1/5^n

=-1/3×5^(n+1)-n

=-1/3×5

=-5/3

hope this is helpful to us.

Answer 2

-5/3 is the simplification of the given equation.

Given:

(5^(n+2)- 6.5^(n+1))/(13.5^n-2.5^(n+1))

To Find:

The simplification of the given equation.

Solution:

$\frac{5^{n+2 }- 6*5^{n+1} }{13*5^{n} -2*5^{n+1} }$

$\frac{5^{n} *(5^{2 }- 6*5 ) }{5^{n} *(13-2*5 ) }\\\\\frac{(5^{2 }- 6*5 ) }{(13-2*5 ) }\\\\\frac{(25-30)}{(13-10} \\\\\frac{-5}{3}$

∴ -5/3 is the simplification of the given equation.

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