Question

Simplify:

5n+2-6*5n+1/13*5n-2*5n+1

Answer 1

5n+2-30n+1/13*5n-10n+1
5n+2-30n+5/13n-10n+1
5n/2-30n+5/13n-10n
5n/1-30n/1+5n/13-10n/1
65n/13-390/13+5n/13-130n/13
-450/13n+2+1
-450/13n+3
-450n/13

Answer 2

Answer:

$\frac{125}{237}$

Step-by-step explanation:

Here, the given expression is,

$\frac{5^{n+2}-6.5^{n+1}}{13.5^{n-2}-2.5^{n+1}}$

$=\frac{5^n.5^2-6.5^n.5}{13.5^n.5^{-2}-2.5^n.5^1}$ ( Since, $a^{m+n}=a^m.a^n$ )

$=\frac{5^n(5^2-6.5)}{5^n(\frac{13}{25}-10)}$ ( Because, $a^m=\frac{1}{a^{-m}}$ )

$=\frac{25-30}{\frac{13-250}{25}}$

$=\frac{-5\times 25}{-237}$

$=\frac{-125}{-237}$

$=\frac{125}{237}$