Exam 9: Rational Exponents

Multiply. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.)

Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)

Combine the expressions.

Solve the equation.

Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)

Multiply.

Multiply. (Assume the variables represent nonnegative real numbers.)

Use Property 1 for Radicals to write the expression in simplified form. (Assume the variables are nonnegative numbers.)

A long straight river, 4 meters wide, is flowing at 1 meter per second. A pollutant is entering the river at a constant rate from one of its banks. As the pollutant disperses in the water, it forms a plume that is modeled by the equation . How wide is the plume 4 meters down river from the source of the pollution? __________ meters

Rationalize the denominator in the following expression.

Multiply.

A triangle is equilateral if it has three equal sides. The triangle in the figure is equilateral with each side of length 2 x . Find the ratio of a side to the height.

Multiply. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.)

Find the product.

Multiply. (Assume all expressions appearing under a square root symbol represent nonnegative numbers.)

Combine the expressions. (Assume the variables are nonnegative numbers.)

Solve the equation.

Multiply. (Assume the variable represents a nonnegative real number.)

Multiply. (Assume the variable represents a nonnegative real number.)

Solve the equation.