Question

Write down the following in the product form:
(i) x²y⁴
(ii) 6y⁵
(iii) 9xy²z
(iv) 10a³b³c³

Answer 1

(i) ${\mathrm{x}}^2{\mathrm{y}}^4=(\mathrm{x}\times \mathrm{x})\times (\mathrm{y}\times \mathrm{y}\times \mathrm{y}\times \mathrm{y})=\mathbf{x}\mathbf{\times }\mathbf{x}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}$
(ii) $6{\mathrm{y}}^5=6\times (\mathrm{y}\times \mathrm{y}\times \mathrm{y}\times \mathrm{y}\times \mathrm{y})=\mathbf{6}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}$
(iii) $9{\mathrm{xy}}^2\mathrm{z}=9\times \mathrm{x}\times (\mathrm{y}\times \mathrm{y})\times \mathrm{z}=\mathbf{9}\mathbf{\times }\mathbf{x}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{y}\mathbf{\times }\mathbf{z}$
(iv) $10{\mathrm{a}}^3{\mathrm{b}}^3{\mathrm{c}}^3=10\times (\mathrm{a}\times \mathrm{a}\times \mathrm{a})\times (\mathrm{b}\times \mathrm{b}\times \mathrm{b})\times (\mathrm{c}\times \mathrm{c}\times \mathrm{c})=\mathbf{10}\mathbf{\times }\mathbf{a}\mathbf{\times }\mathbf{a}\mathbf{\times }\mathbf{a}\mathbf{\times }\mathbf{b}\mathbf{\times }\mathbf{b}\mathbf{\times }\mathbf{b}\mathbf{\times }\mathbf{c}\mathbf{\times }\mathbf{c}\mathbf{\times }\mathbf{c}$