Simplify (b)^(1/4)
Understand the Problem
The question is asking to simplify the expression (b)^(1/4). This involves applying the rules of exponents and possibly rewriting the expression in a simpler form, potentially involving roots.
Answer
The simplified expression is \( \sqrt[4]{b} \).
Answer for screen readers
The simplified expression is ( \sqrt[4]{b} ).
Steps to Solve
- Understanding the expression
The expression we need to simplify is $(b)^{1/4}$. This represents the fourth root of $b$.
- Rewrite in radical form
The exponent $1/4$ can be rewritten using radical notation. Therefore, we have:
$$ (b)^{1/4} = \sqrt[4]{b} $$
- Identify equivalent forms
In this case, there are no further simplifications necessary without knowing the value of $b$. Thus, the simplified expression is:
$$ \sqrt[4]{b} $$
The simplified expression is ( \sqrt[4]{b} ).
More Information
The expression ( (b)^{1/4} ) is equivalent to the fourth root of ( b ). Understanding how to manipulate exponents and their corresponding roots is essential in algebra.
Tips
- Forgetting to convert to radical form: Students often keep the exponent rather than writing it as a root.
- Misapplying exponent rules: Make sure to accurately interpret the exponent, as fractional exponents represent roots.
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