Rational exponents

When multiplying expressions with the same base, what operation is performed on their exponents?

• The exponents are added.

• The exponents are subtracted.

• The exponents are multiplied.

• The exponents are divided.

How is an expression simplified when a power is raised to another power?

• The exponents are added.

• The exponents are subtracted.

• The exponents are multiplied.

• The exponents are divided.

When dividing expressions with the same base, what operation is performed on their exponents?

• The exponents are added.

• The exponents are subtracted.

• The exponents are multiplied.

• The exponents are divided.

How is an expression with a negative exponent simplified to have a positive exponent?

• The base is multiplied by -1.

• The reciprocal of the base is taken, and the exponent becomes positive.

• The exponent is simply changed to positive.

• The base is divided by the exponent.

Simplify the expression 5^(1/4) * 5^(4/5).

• 5^(5/9)

• 5^(21/20)

• 5^(17/20)

• 5^(1/5)

Simplify the expression (9r^4)^(1/2).

• 9r^2

• 3r^2

• 3r^(1/2)

• 9r^(1/2)

Simplify the expression b^4 / b^(1/2).

• b^2

• b^(9/2)

• b^(7/2)

• b^(3/2)

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Simplify the expression (3x^(1/4)) / (9x^(4/3)) and write it with positive exponents.

• (1/3)x^(13/12)

• 1 / (3x^(13/12))

• (1/3)x^(-13/12)

• 1 / (3x^(3/12))

Simplify the expression: (2m^2)^(-1) * (4m^(3/2))

• 2m^(1/2)

• 2 / m^(1/2)

• 8m^(1/2)

• 1 / (2m^(1/2))