Question

Mark the correct alternative in the following question:

$$\begin{gathered} x^2\times 2y^3\times 5x^3{y}^2\mathrm{is}\mathrm{equal}\mathrm{to} \\ \left(\mathrm{a}\right)10x^2{y}^5\left(\mathrm{b}\right)10x^5{y}^2\left(\mathrm{c}\right)10x^5{y}^5\left(\mathrm{d}\right)x^5{y}^5 \end{gathered}$$

Answer 1

As,

$$\begin{gathered} x^2\times 2y^3\times 5x^3{y}^2 \\ =\left(2\times 5\right)\times \left(x^2\times x^3\right)\times \left(y^3\times y^2\right) \\ =10\times x^{2+3}\times y^{3+2} \\ =10x^5{y}^5 \end{gathered}$$

Hence, the correct alternative is option (c).