Question
$a^3 \times a^{-10}=$= __________.
✓
Answer
$a^3 \times a^{-10}= a^{-7}.$
Solution:
Given,
Using law of exponents, $a^m \times a^n=(a)^{m+n}$[$\because$ a is non-zero integer]
Similarly,
$a^3 \times a^{-10}=(a)^{3-10}$
$=(a)^{-7}$
Hence,
$a^3 \times a^{-10}=a^{-7}$
Solution:
Given,
Using law of exponents, $a^m \times a^n=(a)^{m+n}$[$\because$ a is non-zero integer]
Similarly,
$a^3 \times a^{-10}=(a)^{3-10}$
$=(a)^{-7}$
Hence,
$a^3 \times a^{-10}=a^{-7}$
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