Question

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

Answer 1

Let's evaluate each given expression for the given values of the variables.

We have the following:

• a.

`t^(-6)\text{ for t}=2`

To evaluate the expression, substitute 2 fot t in t^-6.

We have:

`\begin{gathered} t=2 \\ \\ t^(-6)=2^(-6) \\ \text{ Rewrite the expression using negative exponent rule:} \\ 2^(-6)=(1)/(2^6)=(1)/(64)=0.015625 \end{gathered}`

• b.

`4n^(-3)\text{ for n=-5}`

To evaluate the expression, substitute -5 for n:

`\begin{gathered} 4(5)^(-3)_{} \\ \text{ Rewrite the expression using negative exponent rule:} \\ =4((1)/(5))^3 \\ =4((1^3)/(5^3)) \\ =4((1)/(125)) \\ \\ =(4)/(125) \\ \\ =0.032 \end{gathered}`

ANSWER:

a. 0.015625