1.3.3 Quiz Review Exploring Roots

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Math Response

Question 3: What is the value of the expression $$\frac{4^2\cdot\left(4^{-5}\right)^3}{4^{-6}}$$ in exponential notation?

Type answer here

Correct Answer: \frac{1}{4^7}

Deg^°

Rad

Draw

Given the problem and students work, which student is correct and how do you know?

Match

Like Question 5. Match the following expressions with their inverses.

• $$\left(-4\right)^2$$

• $$15^2$$

• $$\left(-11\right)^3$$

• $$\sqrt[]{16}$$

• $$\sqrt[]{225}$$

• $$\sqrt[3]{-1331}$$

Fill in the Blanks

Like #6 Beth has been hired to create a square garden. The area of the garden is 144 square feet.

What are the side lengths of the garden?

Remember $A=s^2$

Draw

Like #7 Where would you place the following square roots on the number line.

$$\sqrt[]{2},\ \ \sqrt[]{5},\ \ \sqrt[]{15},\ \sqrt[]{16}$$

Categorize

Options (6)

$$\sqrt[3]{64}$$  

$$\sqrt[3]{-512}$$  

$$\sqrt[3]{1000}$$  

$$\sqrt[3]{525}$$  

$$\sqrt[3]{-1111}$$  

$$\sqrt[3]{123}$$  

Like #8 Which of the following are perfect cubes and which are non-perfect cubes?

Perfect Cubes

Non-Perfect Cubes

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