Question

Evalue each expression for the given value(s) of the variable(s)simplify

Answer 1

(a)

Step 1: Write out the formula

`ra^(-m)=(r)/(a^m)`
`\begin{gathered} \text{ Where} \\ a\text{ is a non-zero integer} \\ m,r\text{ are integers} \end{gathered}`

Step 2: Write out the given values and substitute them into the formula

`\begin{gathered} \text{ In this case,} \\ r=5,a=k,m=3 \end{gathered}`

Therefore,

`5k^(-3)=(5)/(k^3)`

(b)

Step 1: Write out the formula

`\begin{gathered} (a^m)/(b^(-n))=a^mb^n \\ \text{ Where} \\ b\text{ is a non-zero integer} \\ a,m,n\text{ are integers} \end{gathered}`

Step 2: Write out the given values and substitute them into the formula

`a=x,b=y,m=4,n=6`

Therefore,

`(x^4)/(y^(-6))=x^4y^6`