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3.Find the products
(i)\((a^2)\times(2a^{22})\times(4a^{26})\)

(ii)\((\frac{2}3xy)\times(-\frac{9}{10}x^2y^2)\)

(iii)\((-\frac{10}3pq^3)\times(\frac{6}{5}p^3q)\)

(iv)\(x\times x^2\times x^3\times x^4\)


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)\(x\times x^2\times x^3\times x^4\)

\(= x^{(1+2+3+4)}=x^{10\)

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