Question

Select the correct answer.What is the value of this expression if h = 8,1 = -1, and k = -12?13320ОА.-12OB. 36OC 12OD.ResetNext2021 Edimentum. All rights reserved

Answer 1

We need to find the value of:

`(j^3\cdot k)/(h^0)`

Knowing that j=-1, k=-12 and h=8. Let's see the two terms with powers seprately:

`\begin{gathered} j^3=j\cdot j\cdot j=(-1)\cdot(-1)\cdot(-1) \\ \text{We know that }(-1)\cdot(-1)=1\text{ so we get:} \\ (-1)\cdot(-1)\cdot(-1)=1\cdot(-1)=-1 \\ \text{Then:} \\ j^3=-1 \end{gathered}`
`\begin{gathered} h^0=8^0 \\ \text{And any given non-zero number raised to 0 is equal to 1 so we get:} \\ h^0=1 \end{gathered}`

If we use all these values we found in the original expression we get:

`(j^3\cdot k)/(h^0)=((-1)^3\cdot(-12))/(8^0)=((-1)\cdot(-12))/(1)=(12)/(1)=12`

Which means that the answer is option C: 12.