Question
Simplify the expression. Assume \( n \) represents a positive integer. \[ \left(\frac{a^{3}}{b^{4}}\right)^{n}=\square \]
Ask by Nguyen Bush. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{a^{3n}}{b^{4n}}
\]
Solution
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The Deep Dive
To simplify the expression \(\left(\frac{a^{3}}{b^{4}}\right)^{n}\), we apply the exponent to both the numerator and the denominator. This gives us: \[ \frac{a^{3n}}{b^{4n}} \] So, the simplified expression is \(\frac{a^{3n}}{b^{4n}} = \square\).