Roots: Basic Rules - Raising a Root to a Power

$$\left(\sqrt[5]{25}\right)^5 = $$

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.

Incorrect. [[snippet]]

$$2$$

$$\sqrt{5}$$

$$5$$

$$25$$

$$125$$