Question

write the expression using rational exponents. assume th\\(\sqrt{5t} = \square\\)

Explanation:

Step1: Recall root-exponent rule

The square root of a term is equivalent to raising that term to the power of $\frac{1}{2}$, i.e., $\sqrt{x}=x^{\frac{1}{2}}$.

Step2: Apply rule to given expression

Substitute $x=5t$ into the rule:
$\sqrt{5t}=(5t)^{\frac{1}{2}}$

Answer:

$(5t)^{\frac{1}{2}}$