Question

8.3 simplify rational exponents (homework) score: 0/25 answered: 0/25 question 1 which of the following is $sqrt7{10}$? $circsqrt7{10}$ $circ7sqrt{10}$ $circ\frac{7}{sqrt{10}}$ use the equation editors $sqrtn{}$ to enter $n$th roots. enter $sqrt7{10}$: enter $\frac{sqrt7{2}}{5}$: enter $sqrt7{\frac{2}{5}}$:

Explanation:

Step1: Recall radical - exponent equivalence

The notation $\sqrt[n]{a}=a^{\frac{1}{n}}$. Here, $\sqrt[7]{10}$ is the seventh - root of 10.

Step2: Analyze options

The first option is $\sqrt[7]{10}$ which is the same as the given expression. The second option $7\sqrt{10}=7\times10^{\frac{1}{2}}$, the third option $\frac{7}{\sqrt{10}} = 7\times10^{-\frac{1}{2}}$.

Answer:

$\sqrt[7]{10}$

For the additional input fields:

• Enter $\sqrt[7]{10}$: $\sqrt[7]{10}$
• Enter $\frac{\sqrt[7]{2}}{5}$: $\frac{\sqrt[7]{2}}{5}$
• Enter $\sqrt[7]{\frac{2}{5}}$: $\sqrt[7]{\frac{2}{5}}$