question write the expression in radical form. $x^{\frac{5}{4}}$
question write the expression in radical form. $x^{\frac{5}{4}}$
Answer
Explanation:
Step1: Recall the rule for fractional exponents
The rule is $x^{\frac{m}{n}}=\sqrt[n]{x^{m}}$. Here $m = 5$ and $n=1$.
Step2: Apply the rule
For $x^{\frac{5}{1}}$, substituting into the formula, we get $\sqrt[1]{x^{5}}$. Since $\sqrt[1]{a}=a$ for any real - number $a$, the expression simplifies to $x^{5}$.
Answer:
$x^{5}$