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