By multiplying (10)^5 by (10)^ -10 we get ________. - Vidyadip

Question

By multiplying $(10)^5$ by $(10)^{-10}$ we get ________.

✓

Answer

By multiplying $(10)^5$ by $(10)^{-10}$ we get $(10)^{-5}$.
Solution:
Using law of exponents, $(a)^m× (a)^n= (a)^{m+n}$ [$\because$ a is non-zero integer]
Similarly,
$(10)^5× (10)^{-10}+ (10)^{5-10}$
$= (10)^{-5}$
Hence, $(10)^5× (10)^{-10}=(10)^{-5}$

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