what is the fourth step of Radical Equations

Raise each side of the equation to the power of the index

Isolate the radical on one side of equations

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Exponential Equations And Radical Equations

Exponential Equations and Radical Equations

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Exponential Equations and Radical Equations

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20 questions

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FILL IN THE BLANKS QUESTION

1 min • 1 pt

Anything raised to the power of 0 equals (a) .

Tags

CCSS.8.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When converting a radical expressions into exponential form, there are many ways to describe how to place the numbers from the fraction exponent. Given $\sqrt[5]{x^2}$ Which of these descriptions is FALSE?

$=x^{\frac{power}{root}}=x^{\frac{2}{5}}$

$=x^{\frac{\exp onent}{index}}=x^{\frac{2}{5}}$

$=x^{\frac{inside}{outside}}=x^{\frac{2}{5}}$

$=x^{\frac{index}{power}}=x^{\frac{5}{2}}$

Answer explanation

As pictured, the exponent m/n should represent any of the following
--> power/root
--> exponent/index
--> inside/outside
When writing the radical form.

Tags

CCSS.HSN.RN.A.2

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Given the radical expression $\sqrt[]{7}$ what would the exponent be when you convert to exponential form?

(a)

Answer explanation

$\sqrt[]{7}$ is really $\sqrt[2]{7^1}$ based on what we know about powers and index numbers that we cannot see.
So in exponential form it is $7^{\frac{1}{2}}$

Tags

CCSS.HSN.RN.A.2

MULTIPLE CHOICE QUESTION

1 min • Ungraded

How are you feeling about converting between rational exponents and radical equations?

Answer explanation

Remember, if you are struggling at all you should be messaging me so that I can help you 😊
Also, use the Extra Help posts when you need to learn the material better or see it in another way 👍

Tags

CCSS.HSN.RN.A.2

MULTIPLE SELECT QUESTION

1 min • 1 pt

Solve the equation.

-29

-3

9^2/3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve

-14

no solution

Tags

CCSS.HSA.REI.A.2

MATH RESPONSE QUESTION

1 min • 1 pt

Sovle for x.

5^{-3x - 1} = 25

$-1$

Mathematical Equivalence

MATH RESPONSE QUESTION

1 min • 1 pt

solve for x:

$x=53$

Mathematical Equivalence

Tags

CCSS.HSA.REI.A.2

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Exponential Equations and Radical Equations

Anything raised to the power of 0 equals (a) .

When converting a radical expressions into exponential form, there are many ways to describe how to place the numbers from the fraction exponent. Given x25\sqrt[5]{x^2}5x2​ Which of these descriptions is FALSE?

As pictured, the exponent m/n should represent any of the following--> power/root--> exponent/index--> inside/outsideWhen writing the radical form.

Given the radical expression 7\sqrt[]{7}7​ what would the exponent be when you convert to exponential form? (a)

7\sqrt[]{7}7​ is really 712\sqrt[2]{7^1}271​ based on what we know about powers and index numbers that we cannot see.So in exponential form it is 7127^{\frac{1}{2}}721​

How are you feeling about converting between rational exponents and radical equations?

Remember, if you are struggling at all you should be messaging me so that I can help you 😊Also, use the Extra Help posts when you need to learn the material better or see it in another way 👍

Solve the equation.

Solve

Sovle for x.5-3x - 1 = 25

Solve

solve for x:

Solve the equation.

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Discover more resources for Mathematics

When converting a radical expressions into exponential form, there are many ways to describe how to place the numbers from the fraction exponent. Given $\sqrt[5]{x^2}$ Which of these descriptions is FALSE?

As pictured, the exponent m/n should represent any of the following
--> power/root
--> exponent/index
--> inside/outside
When writing the radical form.

Given the radical expression $\sqrt[]{7}$ what would the exponent be when you convert to exponential form?

(a)

$\sqrt[]{7}$ is really $\sqrt[2]{7^1}$ based on what we know about powers and index numbers that we cannot see.
So in exponential form it is $7^{\frac{1}{2}}$

Remember, if you are struggling at all you should be messaging me so that I can help you 😊
Also, use the Extra Help posts when you need to learn the material better or see it in another way 👍

Sovle for x.

5^{-3x - 1} = 25