Write each expression in expanded form.
(a)
[tex]\begin{gathered} 4^{3\text{ }}.4^4=4^3\times4^4 \\ =4\times4\times4\times4\times4\times4\times4 \end{gathered}[/tex]
(b)
[tex]\begin{gathered} (-3)^5.(-3)^{2\text{ }}=(-3)^5\text{ }\times(-3)^2 \\ =(-3)^{}\times(-3)^{}\times(-3)^{}\times(-3)^{}\times(-3)\times(-3)\times(-3) \end{gathered}[/tex]
(c)
[tex]\begin{gathered} (-2)^8.(-2)^7=(-2)^8\text{ }\times(-2)^7 \\ =(-2)^{}\times(-2)\text{ }\times(-2)^{}\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2) \end{gathered}[/tex]
Rewriting in exponential form
(a)
[tex]\begin{gathered} 4^3.4^4=4^{3+4} \\ \text{ = 4}^7 \end{gathered}[/tex]
(b)
[tex]\begin{gathered} (-3)^5.(-3)^2=(-3)^{5+2} \\ \text{ = (-3)}^7 \end{gathered}[/tex]
(c)
[tex]\begin{gathered} (-2)^8.(-2)^7=(-2)^{8+7}\text{ } \\ =(-2)^{15} \end{gathered}[/tex]
