Let's evaluate each given expression for the given values of the variables.
We have the following:
• a.
[tex]t^{-6}\text{ for t}=2[/tex]
To evaluate the expression, substitute 2 fot t in t^-6.
We have:
[tex]\begin{gathered} t=2 \\ \\ t^{-6}=2^{-6} \\ \text{ Rewrite the expression using negative exponent rule:} \\ 2^{-6}=\frac{1}{2^6}=\frac{1}{64}=0.015625 \end{gathered}[/tex]
• b.
[tex]4n^{-3}\text{ for n=-5}[/tex]
To evaluate the expression, substitute -5 for n:
[tex]\begin{gathered} 4(5)^{-3}_{} \\ \text{ Rewrite the expression using negative exponent rule:} \\ =4(\frac{1}{5})^3 \\ =4(\frac{1^3}{5^3}) \\ =4(\frac{1}{125}) \\ \\ =\frac{4}{125} \\ \\ =0.032 \end{gathered}[/tex]
ANSWER:
a. 0.015625
