Rational and Radical Exponents

This video tutorial explains how to convert between radical form and rational exponent form, using examples such as square roots and cube roots. It also demonstrates how to evaluate these expressions using a TI-84 calculator, verifying their equivalence. The tutorial covers the conversion of negative exponents to positive before converting to radical form, and provides step-by-step instructions for using the calculator to confirm results.

What is the rational exponent form of the square root of 36?

• 36 raised to the power of 1/3

• 36 raised to the power of 3

• 36 raised to the power of 2

• 36 raised to the power of 1/2

Tags

CCSS.HSN.RN.A.2

How do you express the cube root of 27 squared in rational exponent form?

• 27 raised to the power of 2/3

• 27 raised to the power of 3/2

• 27 raised to the power of 1/3

• 27 raised to the power of 2

Tags

CCSS.HSN.RN.A.2

What is the radical form of 9 raised to the power of 3/2?

• The square root of 9

• The square root of 9 raised to the power of 3

• The cube root of 9 squared

• 9 raised to the power of 3

Tags

CCSS.8.EE.A.1

How do you convert 8 raised to the power of -4/3 to a positive exponent?

• 8 raised to the power of -4/3

• 1 over 8 raised to the power of 4/3

• 8 raised to the power of 4/3

• 1 over 8 raised to the power of -4/3

Tags

CCSS.HSN.RN.A.2

What is the radical form of 8 raised to the power of 4/3?

• The square root of 8 raised to the power of 4

• The cube root of 8

• The cube root of 8 raised to the power of 4

• 8 raised to the power of 4

Tags

CCSS.8.EE.A.2

How do you evaluate the square root of 36 on a TI-84 calculator?

• Press second, x squared, enter 36, then press enter

• Press math, number 4, enter 36, then press enter

• Press second, math, enter 36, then press enter

• Press x squared, enter 36, then press enter

What is the result of evaluating 27 raised to the power of 2/3 on a TI-84 calculator?

• 3

• 6

• 27

• 9

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

How do you convert a decimal result to a fraction on a TI-84 calculator?

• Press second, enter, enter

• Press math, number 4, enter

• Press second, math, enter

• Press math, enter, enter

What is the result of evaluating 9 raised to the power of 3/2 on a TI-84 calculator?

• 18

• 27

• 9

• 3

Tags

CCSS.HSN.RN.A.2

What is the result of evaluating 8 raised to the power of -4/3 on a TI-84 calculator?

• 1/16

• 16

• 1/8

• 8

Tags

CCSS.HSN.RN.A.2