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Answer :
(i)\((a^2)\times(2a^{22})\times(4a^{26})\)
\(=(1\times 2\times 4)\times a^{2+22+26}=8a^{50}\)
(ii)\((\frac{2}3xy)\times(-\frac{9}{10}x^2y^2)\)
\(=(\frac{2}3\times (-\frac{9}{10}))\times x^{(1+2})y^{(1+2)}\)
(iii)\((-\frac{10}3pq^3)\times(\frac{6}{5}p^3q)\)
\(=(-\frac{10}3\times\frac{6}{5})\times p^{(1+3)}q^{(1+3)}\)
\(=-4p^4q^4\)
(iv)\(x\times x^2\times x^3\times x^4\)
\(= x^{(1+2+3+4)}=x^{10\)