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$$\left(\sqrt[5]{25}\right)^5 =$$
Correct. [[Snippet]] First, convert the root to a fractional power, keeping in mind that the index of the root is the denominator of the exponent. > $$\left(\sqrt[5]{25}\right)^5 = \left(25^{\frac{1}{5}}\right)^5$$ Now use the rules of raising a power to an exponent: multiply the exponents. > $$\left(25^{\frac{1}{5}}\right)^5 = 25^{\frac{1}{5} \cdot5} = 25^{\frac{5}{5}} = 25^1 = 25$$ Hence, this is the correct answer.
$$2$$
$$\sqrt{5}$$
$$5$$
$$25$$
$$125$$