Question

Complete the chart. I am having difficulty in figurinh out these 3 can you please explain them

Answer 1

Given:

The chart is given by using the operations.

Required:

Complete the chart.

Step-by-step explanation:

(a)

`\begin{gathered} -4^4=-4*-4*-4*-4 \\ =(-1)^4256 \\ =256 \end{gathered}`

(b)

`\begin{gathered} (-1)*3*3*3=(-1)*3^3 \\ =-27 \end{gathered}`

(c)

`\begin{gathered} -49=(-1)*7*7 \\ =(-1)*7^2 \end{gathered}`

(d)

`\begin{gathered} -7*-7*-7*-7=(-1)^4*7^4 \\ =(1)*2401 \\ =2401 \end{gathered}`

(e)

`\begin{gathered} (-5)^3=-5*-5*-5 \\ =(-1)^3*5*5*5 \\ =(-1)*125 \\ =-125 \end{gathered}`

(f)

`\begin{gathered} -100=(-1)*10*10 \\ =(-1)*10^2 \end{gathered}`

Final Answer:

`\begin{gathered} (a)\text{ -4}^4=-4*-4*-4*-4=256 \\ (b)(-1)3^3=(-1)*3*3*3=-27 \\ (c)(-1)*7^2=(-1)*7*7=-49 \\ (d)(-7)^4=-7*-7*-7*-7=2401 \\ (e)(-5)^3=-5*-5*-5=-125 \\ (f)(-1)10^2=(-1)*10*10=-100 \end{gathered}`