Question
$5^5× 5^{-5}$= __________.
✓
Answer
$5^5× 5^{-5}= 1.$
Solution:
Using law of exponents, $a^m× a^n= (a)^{m+n}$[$\because$ a is non-zero integer]
$\therefore$ $5^5× 5^{-5}= (5)^{5-5}$
$= (5)^0= 1$ [$\therefore$ $a^0= 1$]
Hence,
$5^5× 5^{-5}= 1$
Solution:
Using law of exponents, $a^m× a^n= (a)^{m+n}$[$\because$ a is non-zero integer]
$\therefore$ $5^5× 5^{-5}= (5)^{5-5}$
$= (5)^0= 1$ [$\therefore$ $a^0= 1$]
Hence,
$5^5× 5^{-5}= 1$
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