Simplify, giving solution with positive index

$2 b^{6} . b^{3} .5 b^{4}$

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Solution

Step: simplifying using laws of exponents

Given, $2 b^{6} . b^{3} .5 b^{4}$
It can be written as:
$2 \times 5 \times b^{6 + 3 + 4}$ [ $∵ a^{m} \times a^{n} = a^{m + n}$ ]
$∴$ On further calculation ,we have
$2 b^{6} . b^{3} .5 b^{4}$
$= 10 b^{13}$

Hence , $2 b^{6} . b^{3} .5 b^{4} = 10 b^{13}$ .

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