# How do you evaluate the expressions (4x^4)/( 24x^3) given x= 3 and y=5?

Sep 6, 2016

Plug in 3 for x.

#### Explanation:

If x=3, then plug that into the expression (was one of the x's supposed to be y?).

$\frac{4 {\left(3\right)}^{4}}{24 {\left(3\right)}^{3}}$

Evaluate the exponents first. In order of operation, exponents come before multiplication.
${3}^{4} = 81$ and ${3}^{3} = 27$

$\frac{4 \left(81\right)}{24 \left(27\right)}$

$\frac{324}{648} = \frac{1}{2}$

Or, you could first simplify the ${x}^{4} / {x}^{3} = x$

Then the problem becomes $\frac{4 x}{24}$

Plugging in 3 for x:

$\frac{4 \left(3\right)}{24} = \frac{12}{24} = \frac{1}{2}$

However, is it possible you entered the problem incorrectly? We never used y= 5. Was one of the x's supposed to be y?