Question

simplify.
$(v^{-6})^3$
write your answer without using negative exponents.

Explanation:

Step1: Apply the power of a power rule

When raising a power to a power, we multiply the exponents. So for \((v^{-6})^{3}\), we multiply \(-6\) and \(3\).
\((v^{-6})^{3}=v^{-6\times3}\)

Step2: Calculate the exponent

\(-6\times3 = -18\), so we have \(v^{-18}\).

Step3: Convert to positive exponent

Recall that \(a^{-n}=\frac{1}{a^{n}}\) for \(a
eq0\) and \(n\) a positive integer. So \(v^{-18}=\frac{1}{v^{18}}\).

Answer:

\(\frac{1}{v^{18}}\)