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Exercise

$\sqrt{2^{9^{4^{-2^{-1}}}}}$

Step-by-step Solution

1

Simplify $\sqrt{2^{\left(9^{\left(4^{- 2^{-1}}\right)}\right)}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $9^{\left(4^{- 2^{-1}}\right)}$ and $n$ equals $\frac{1}{2}$

$2^{9^{\left(4^{- 2^{-1}}\right)}\cdot \frac{1}{2}}$

Final answer to the exercise

$2^{9^{\left(4^{- 2^{-1}}\right)}\cdot \frac{1}{2}}$

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Main Topic: Radical Expressions

Radical expressions are those expressions that include a radical, which is the symbol for calculating a root.

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