(2/3^2)^4

asked by guest
on Jan 18, 2025 at 11:38 am



You asked:

Evaluate the expression: \({\left( \frac{2}{{3}^{2}} \right)}^{4}\)

MathBot Answer:

\[{\left( \frac{2}{{3}^{2}} \right)}^{4} = \frac{16}{6561} \approx 0.00243865264441396128638926992836\]

\[\begin{aligned}{\left( \frac{2}{{3}^{2}} \right)}^{4}& = \left(2 \cdot \frac{1}{3^{2}}\right)^{4}\\& = \left(\frac{2}{9}\right)^{4}\\& = \frac{16}{6561}\end{aligned}\]

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