Question

Find the value of (2.3a⁵b²) × (1.2a²b²), when a = 1 and b = 0.5.

Answer 1

$$\begin{gathered} =(2.3\times 1.2)\times ({\mathrm{a}}^5\times {\mathrm{a}}^2\times {\mathrm{b}}^2\times {\mathrm{b}}^2) \\ =2.76\times {\mathrm{a}}^{(5+2)}\times {\mathrm{b}}^{(2+2)} \\ =2.76{\mathrm{a}}^7{\mathrm{b}}^4 \\ \mathrm{When}\mathrm{a}=1\mathrm{and}\mathrm{b}=0.5,\mathrm{we}\mathrm{get}: \\ 2.76{\mathrm{a}}^7{\mathrm{b}}^4=2.76\times 1^7\times 0.5^4=0.1725 \end{gathered}$$