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5 votes
how can you write
\frac{1}{\sqrt[3]{-12} } in
a^(b) format without any radicals?

User Danchoys
by
8.7k points

1 Answer

5 votes

Answer:


\displaystyle (-12)^{-(1)/(3)}

General Formulas and Concepts:

Algebra I

  • Exponential Rule [Rewrite]:
    \displaystyle b^(-m) = (1)/(b^m)
  • Exponential Rule [Root Rewrite]:
    \displaystyle \sqrt[n]{x} = x^{(1)/(n)}

Explanation:

Step 1: Define


\displaystyle \frac{1}{\sqrt[3]{-12}}

Step 2: Rewrite

  1. Exponential Rule - Root Rewrite:
    \displaystyle \frac{1}{(-12)^{(1)/(3)}}
  2. Exponential Rule - Rewrite:
    \displaystyle (-12)^{-(1)/(3)}
User Charlotte Tan
by
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