Given (a^5a^3)× (a)^8 We know that [a^xa^y=a^x y and a^x· a^y=a^x+y] then =a^5 3+8=a^10 . ...

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Sum of Infinite Terms of a GP

a5/a3× a8

Question

$(\frac{a^{5}}{a^{3}}) \times a^{8}$

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Solution

Given $(\frac{a^{5}}{a^{3}}) \times (a)^{8}$
We know that $[\frac{a^{x}}{a^{y}} = a^{x - y} a n d a^{x} \cdot a^{y} = a^{x + y}]$ then $= a^{5 - 3 + 8} = a^{10}$ .

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