Answer:
value of [tex]6^{-3}[/tex] is [tex]\frac{1}{216}[/tex]
Step-by-step explanation:
Given the expression:
[tex]6^{-3}[/tex]
Using the rule:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
[tex]6^{-3}[/tex]
Apply on this expression we have;
[tex]\frac{1}{6^3}[/tex]
we can write [tex]6^3[/tex] as:
[tex]6^3=6 \cdot 6 \cdot 6[/tex]
then;
[tex]\frac{1}{6 \cdot 6 \cdot 6}[/tex]
Simplify:
[tex]\frac{1}{216}[/tex]
Therefore, the value of [tex]6^{-3}[/tex] is [tex]\frac{1}{216}[/tex]
