Question

there is a square root of 7 (√7) in the upper left. below are four options: 7², 7^(1/2), 7⁻², 7^(-1/2). the question is to choose the option that is equivalent to √7.

Explanation:

Step1: Recall the exponent rule for square roots

The square root of a number \( a \) (where \( a\geq0 \)) can be written as \( a^{\frac{1}{2}} \) according to the rule \( \sqrt[n]{a}=a^{\frac{1}{n}} \), and for \( n = 2 \), \( \sqrt{a}=a^{\frac{1}{2}} \).

Step2: Apply the rule to \( \sqrt{7} \)

For \( \sqrt{7} \), using the rule \( \sqrt{a}=a^{\frac{1}{2}} \) with \( a = 7 \), we get \( \sqrt{7}=7^{\frac{1}{2}} \).

Answer:

B. \( 7^{1/2} \) (assuming the second option is labeled as B, with the text \( 7^{1/2} \))