Question

Find the product.
(i) a2 $\times$ (2a22) $\times$ (4a26)
(ii) ($\frac{2}{3}$ xy) $\times$($\frac{-9}{10}$ x2y2)
(iii) ($\frac{-10}{3}$ pq3) × ($\frac{6}{5}$ p3q)
(iv) (x) $\times$ (x2) $\times$ (x3) $\times$ (x4)

Answer 1

(i) a2 $\times$ (2a22) $\times$ (4a26)
= (2 $\times$ 4) ( a2 $\times$ a22 $\times$ a26 )
= 8 $\times$ a2 + 22 + 26
= 8a50

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

=($\frac{2}{3}$ $\times$ $\frac{-9}{10}$ ) ( x $\times$ x2 $\times$ y $\times$ y2 )

= ($\frac{-3}{5}$ x3y3)

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

= ( $\frac{-10}{3}$ $\times$ $\frac{6}{5}$ ) (p $\times$ p3$\times$ q3 $\times$ q)

= (-4p4q4)

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(iv) ( x) $\times$ (x2) $\times$ (x3) $\times$ (x4)
= x 1 + 2 + 3 + 4
= x10