Evaluating Numbers with Rational Exponents and Radical Notation

What is the main rule for converting a rational exponent to a radical?

• The numerator and denominator are both powers.

• The numerator becomes the root and the denominator becomes the power.

• The numerator and denominator are both roots.

• The denominator becomes the root and the numerator becomes the power.

What is the square root of 25?

• 6

• 5

• 4

• 3

What is 25 to the power of three-halves?

• 125

• 15

• 25

• 5

How do you make a negative exponent positive?

• Add 1 to the exponent.

• Subtract 1 from the exponent.

• Move it to the other side of the fraction.

• Multiply the exponent by -1.

What is 25 to the negative three-halves?

• 25

• 1/125

• 1/25

• 125

What is the third root of 64?

• 5

• 3

• 4

• 2

What is 64 to the negative 4/3?

• 256

• 1/256

• 1/64

• 64

What is the fourth root of 16?

• 2

• 3

• 4

• 5

What is 16 to the power of three-fourths?

• 8

• 2

• 16

• 4

What should you do if you have forgotten some of your exponents?

• Ask someone else to solve them.

• Use a calculator for everything.

• Ignore them.

• Write them down and practice.