Given:
The chart is given by using the operations.
Required:
Complete the chart.
Explanation:
(a)
[tex]\begin{gathered} -4^4=-4\times-4\times-4\times-4 \\ =(-1)^4256 \\ =256 \end{gathered}[/tex]
(b)
[tex]\begin{gathered} (-1)\times3\times3\times3=(-1)\times3^3 \\ =-27 \end{gathered}[/tex]
(c)
[tex]\begin{gathered} -49=(-1)\times7\times7 \\ =(-1)\times7^2 \end{gathered}[/tex]
(d)
[tex]\begin{gathered} -7\times-7\times-7\times-7=(-1)^4\times7^4 \\ =(1)\times2401 \\ =2401 \end{gathered}[/tex]
(e)
[tex]\begin{gathered} (-5)^3=-5\times-5\times-5 \\ =(-1)^3\times5\times5\times5 \\ =(-1)\times125 \\ =-125 \end{gathered}[/tex]
(f)
[tex]\begin{gathered} -100=(-1)\times10\times10 \\ =(-1)\times10^2 \end{gathered}[/tex]
Final Answer:
[tex]\begin{gathered} (a)\text{ -4}^4=-4\times-4\times-4\times-4=256 \\ (b)(-1)3^3=(-1)\times3\times3\times3=-27 \\ (c)(-1)\times7^2=(-1)\times7\times7=-49 \\ (d)(-7)^4=-7\times-7\times-7\times-7=2401 \\ (e)(-5)^3=-5\times-5\times-5=-125 \\ (f)(-1)10^2=(-1)\times10\times10=-100 \end{gathered}[/tex]
