Question

revisiting exponents & their functio
complete this assessment to review what youve lea
solve for x in the equation \\(\frac{x}{16} = 16^{\frac{1}{2}}\\). (1 point)
\\(\square\\)
check answer remaining attempts : 3

Explanation:

Step1: Simplify the right - hand side

First, we simplify \(16^{\frac{1}{2}}\). By the definition of fractional exponents, \(a^{\frac{1}{n}}=\sqrt[n]{a}\), so \(16^{\frac{1}{2}}=\sqrt{16} = 4\).

Step2: Solve for x

We have the equation \(\frac{x}{16}=4\). To solve for \(x\), we multiply both sides of the equation by 16. Using the property of equality \(a = b\Rightarrow a\times c=b\times c\) (where \(c = 16\) here), we get \(x=4\times16\).

Step3: Calculate the value of x

\(4\times16 = 64\).

Answer:

\(x = 64\)