Question

How do you evaluate `\frac{x ^ { 4} }{2x }`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression using this rule of exponents:

`a = a^color(blue)(1)`

`x^4/(2x) => x^4/(2x^color(blue)(1)`

Now, use this rule of exponents to divide the `x` terms:

`x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))`

`x^color(red)(4)/(2x^color(blue)(1)) = x^(color(red)(4)-color(blue)(1))/2 => x^3/2`