Mastering Rational Exponents

Convert the expression 16^(1/4) to radical form.

• √[2]{16}

• √[4]{16}

• 16^(1/2)

• √[3]{16}

Simplify the expression (x^(1/2) * x^(1/3)).

• x^(5/6)

• x^(1/6)

• x^(3/4)

• x^(2/5)

Evaluate 27^(2/3).

• 6

• 12

• 9

• 18

Apply the property of exponents to simplify (a^(1/2))^4.

• a^2

• a^4

• a^(2/3)

• a^(1/8)

Graph the function y = x^(1/3) and describe its key features.

• The graph of y = x^(1/3) is a curve that passes through the origin, is symmetric about the origin, and has a gradual slope.

• The graph of y = x^(1/3) is only defined for positive values of x.

• The graph of y = x^(1/3) is a straight line with a positive slope.

• The graph of y = x^(1/3) has a maximum point at (1,1).

Solve the equation x^(1/2) = 9.

• 81

• 18

• 27

• 45

Convert 64^(3/6) to its simplest form.

• 8

• 32

• 16

• 4

Simplify the expression (x^(3/4) / x^(1/2)).

• x^(1/2)

• x^(3/4)

• x^(1/4)

• x^(5/4)

Evaluate (81^(1/4))^2.

• 9

• 8

• 7

• 10

Apply the property of exponents to simplify (2^(3/2) * 2^(1/2)).

• 8

• 4

• 1

• 2