Algebra-2

Question Analysis
This question involves an exponential equation with a cube root (a radical), requiring conversion of the radical to a rational exponent. The main focus is on using the Rational Exponent Rule and Power of a Power Rule to align bases, then solving for x.

Key Concept Explanation
The Rational Exponent Rule states that (for , n a positive integer).
Combining this with the Power of a Power Rule ( ) lets us simplify the radical into a standard exponential term, making it easy to match bases.

Step-by-step Solution
1. Rewrite the cube root as a rational exponent: .
2. Rewrite 16 as a power of 4: Since , substitute to get

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