Example Question - computation

Finding the Value of a Variable in an Equation

<p>Given the equation \( x^{2m} = \frac{(x^3)^8}{x^6} \).</p> <p>First, simplify the right side:</p> <p>\( \frac{(x^3)^8}{x^6} = \frac{x^{24}}{x^6} = x^{24-6} = x^{18} \).</p> <p>Now, equate the exponents:</p> <p>So, \( 2m = 18 \).</p> <p>To find \( m \), divide both sides by 2:</p> <p>Therefore, \( m = \frac{18}{2} = 9 \).</p>