Question
Evaluate. Write your answer as a fraction in simplest form. \( \left(\frac{2}{3}\right)^{4} \)
Ask by Fuentes Newton. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\dfrac{16}{81}\)
Solution
To evaluate \(\left(\frac{2}{3}\right)^{4}\), you raise both the numerator and the denominator to the power of 4:
\[
\left(\frac{2}{3}\right)^{4} = \frac{2^{4}}{3^{4}} = \frac{16}{81}
\]
So, the expression simplified as a fraction is:
\(\boxed{\dfrac{16}{81}}\)
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Simplify this solution Bonus Knowledge
To evaluate \( \left(\frac{2}{3}\right)^{4} \), you raise both the numerator and the denominator to the power of 4: \[ \left(\frac{2}{3}\right)^{4} = \frac{2^{4}}{3^{4}} = \frac{16}{81} \] So, the answer in simplest form is \( \frac{16}{81} \).
