Understanding Rational Exponents

What happens when you multiply the exponents in a power raised to another power?

• You add the exponents.

• You subtract the exponents.

• You multiply the exponents.

• You divide the exponents.

What does a fractional exponent like 1/2 represent?

• A cube root

• A square root

• A fourth root

• A fifth root

How can x^(m/n) be rewritten using radical notation?

• As the nth root of x raised to the mth power

• As the mth root of x raised to the nth power

• As x raised to the power of m times n

• As x raised to the power of n divided by m

Which of the following is equivalent to 8^(2/3)?

• The fifth root of 8 cubed

• The fourth root of 8 cubed

• The cube root of 8 squared

• The square root of 8 squared

What is the result of 25^(3/2) in radical notation?

• The fifth root of 25 squared

• The square root of 25 cubed

• The cube root of 25 squared

• The fourth root of 25 cubed

When simplifying expressions with the same base, what should you do with the exponents?

• Divide them

• Multiply them

• Subtract them

• Add them

What is the cube root of -27?

• 3

• -9

• -3

• 9

How should you handle negative exponents before converting to radical notation?

• Ignore them

• Multiply them by -1

• Convert them to positive exponents

• Leave them as they are

What is the result of multiplying x^(2/5) by x^(-2/5)?

• x^(4/5)

• x^(-1)

• x^1

• x^0

What is the simplified form of x^(2/5) * x^(3/5)?

• x^(3/5)

• x^(2/5)

• x^(5/5)

• x^(1/5)