MP2 Lesson 16 Rewriting Nth roots: 5 Slides

5 Slides • 6 Questions

1

Lesson 16 Rewriting Nth Roots

We will rewrite radical expressions that contains variables to equivalent forms.
I will summarize how to rewrite radical expressions into equivalent forms.
TEKS 2A.7G

2

Goal 1: Evaluating Nth Roots

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You can also write an nth root as a power of a. Let's look at the square root in particular.

Definition of Square Root.

Product of Powers property.

Set exponents equal when bases are equal.

Solve for k.

4

Math Response

How would you rewrite $\sqrt[7]{x}$

Type answer here

Deg^°

Rad

5

Let's talk rational exponents

6

Math Response

Rewrite this rational exponent: $y^{-\frac{4}{3}}$

Type answer here

Deg^°

Rad

7

Properties of Rational Exponents

1.

2.

3.

4.

5.

6.

7. 8.

8

Math Response

Let's practice using the properties and rewriting exponents! Key is to SIMPLIFY as you start to apply properties of exponents to then rewrite.

$\sqrt[3]{125y^6}$

Type answer here

Deg^°

Rad

9

Math Response

Simplify:L $\left(9u^2v^{10}\right)^{\frac{1}{2}}$

Type answer here

Deg^°

Rad

10

Math Response

Simplify: $\sqrt[4]{\frac{x^4}{y^8}}$

Type answer here

Deg^°

Rad

11

Math Response

Simplify: $\frac{6xy^{\frac{1}{2}}}{2x^{\frac{1}{3}}z^{-5}}$

Type answer here

Deg^°

Rad

Lesson 16 Rewriting Nth Roots

We will rewrite radical expressions that contains variables to equivalent forms.
I will summarize how to rewrite radical expressions into equivalent forms.
TEKS 2A.7G

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