Give an example of an expression with a rational exponent and explain how to convert it into radical form.

A rational exponent is an exponent in the form of a fraction.

When relating rational exponents to radicals, the bottom of the rational exponent is the root, while the top of the rational exponent is the new exponent on the radical.  

x^(2/3) {x to the two-thirds power}

= ³√x² {the cube root of x squared}

Ex 2

x^(1/2) {x to the one-half power}

= √x {the square root of x}

(sample response)

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.