Simplify, giving answers with positive index:
(i) $2 b^{6} . b^{3} .5 b^{4}$
(ii) $x^{2} . y^{3} .6 x^{5} y .9 x^{3} y^{4}$

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Solution

(i) $2 b^{6} . b^{3} .5 b^{4}$
It can be written as
$= 2 \times 5 \times b^{6 + 3 + 4}$
On further calculation
$= 10 b^{13}$

(ii) $x^{2} y^{3} .6 x^{5} y .9 x^{3} y^{4}$
It can be written as
$6 \times 9 \times x^{2 + 5 + 3} \times y^{3 + 1 + 4}$
On further calculation
$= 54 x^{10} y^{8}$

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