Question

Simplify
15^-4
-------
15^5

http://gyazo.com/43afdf0ec41c6cba4263b1189e328902

Answer 1

Use this logic

\[\frac{a^5}{a^7}\]

= \(a^{5-7} = a^{-2}\)

Or

\[\frac{b^5}{b^{-9}}\]
= \(a^{5-(-9)} = a^{5+9} = a^{14}\)

Understood?

So If the bases are the same and are divided their powers will be subtracted with the same base.
Okay? :)

Answer 2

http://gyazo.com/fe1259623f7ae83b474514618248e045 I know it is not 1/15, would it be 1/15^9 ?

Answer 3

@AkashdeepDeb

Answer 4

EXCELLENT!! :D
You are correct!! :D

Answer 5

@AkashdeepDeb Thank you so much man!

Life saver!

Answer 6

:)