Rational and Radical Exponents

Rational and Radical Exponents

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
HSN.RN.A.2, 8.EE.A.1, 8.EE.A.2

+2

Standards-aligned

Created by

Olivia Brooks

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSN.RN.A.2
,
CCSS.8.EE.A.1
,
CCSS.8.EE.A.2
CCSS.7.NS.A.2D
,
CCSS.8.NS.A.1
,
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.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.7.NS.A.2D

CCSS.8.NS.A.1

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