Simplify the Expression: √5 ÷ ⁴√5 Step-by-Step

Let's simplify the expression $\frac{\sqrt{5}}{\sqrt[4]{5}}$ using the rules of exponents:

• First, we convert $\sqrt{5}$ to exponent form: $\sqrt{5} = 5^{1/2}$.
• Next, we convert $\sqrt[4]{5}$ to exponent form: $\sqrt[4]{5} = 5^{1/4}$.
• Now, divide the two expressions: $\frac{5^{1/2}}{5^{1/4}} = 5^{1/2 - 1/4}$.
• Subtract the exponents: $5^{1/2 - 1/4} = 5^{2/4 - 1/4} = 5^{1/4}$.

The problem is simplified to $\sqrt[4]{5}$.

Therefore, the simplified form of the given expression is $\sqrt[4]{5}$.