Lesson 15 Homework

Lesson 15 Homework

rational exponents

I got this.

Multiple Choice

What is the value of (-2)^3?

• -8

• -6

• 6

• 8

Multiple Choice

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

• -2⁵

• 2^-5

• (-2)⁵

• (-2)^-5

Multiple Choice

How else could you write  $4^{-2}$  ?

•  $16$  

•  $-16$  

•  $-\frac{1}{16}$  

•  $\frac{1}{16}$  

Multiple Select

Select all the expressions equivalent to $4^{10}$  

•  $2^5\times2^2$  

•  $2^{20}$  

•  $4^4\times4^6$  

•  $4^7\times4^{-3}$  

•  $\frac{4^4}{4^{-6}}$  

Fractional Powers Are Just Numbers

• If we know that 

   $5^3=125$  , what does that tell us about the cube root of 125?

• And how could we write that with radicals?

• How can we write that with a fractional exponent?

Multiple Choice

 A   $\sqrt{\ \ \ \ \ }$  has an implied exponent of ___. 

• 1

• 0

• 2

Multiple Choice

Which expression with a fractional exponent best represents $\sqrt{7}$  ?

•  $7^{\frac{1}{2}}$ 

•  $7^{\frac{1}{4}}$ 

•  $7^{\frac{1}{3}}$  

• 2⁷

Multiple Choice

Which expression is equivalent to  $16^{\frac{1}{2}}$  

•  $\sqrt{16}$  

•  $\frac{1}{4}$  

•  $8$  

•  $16.5$  

Multiple Choice

Which expression is equivalent to $23^{\frac{1}{2}}$  

•  $\frac{1}{23}$  

•  $\frac{1}{\sqrt{23}}$  

•  $11.5$  

•  $\sqrt{23}$  

Multiple Choice

How else can you write  $\sqrt{x}$  ?

•  $x^{\frac{1}{2}}$  

•  $x^2$  

•  $x^{-2}$  

•  $x^{\frac{1}{4}}$  

Multiple Choice

1000^⅓ is the same as the cube root of 1000 =

• 10

• 333

• 300

• 100

Multiple Choice

What is the value of $27^{\frac{1}{3}}$  ?

•  $27$  

•  $9$  

•  $3$  

•  $\frac{1}{3}$  

Multiple Select

Select all expressions that are equal to $64^{\frac{3}{2}}$  

•  $96$  

•  $8^3$  

•  $512$  

•  $\left(\sqrt{64}\right)^3$  

•  $\sqrt{64^3}$  

Multiple Choice

 $\left(\sqrt{16}\right)^3=$  

• 2

• 4

• 16

• 64

Which one?

For each set of 3 numbers, identify the expression that is not equal to the other two expressions

Multiple Choice

Remove this one

• $8^{\frac{4}{5}}$

• $\left(\sqrt{8^5}\right)^{\frac{1}{4}}$

• $\left(\sqrt{8^4}\right)^{\frac{1}{5}}$

Multiple Choice

Remove this one

• $8^{-\frac{4}{2}}$

• $\frac{1}{\sqrt{8^4}}$

• $-\sqrt{8^4}$

Multiple Choice

Remove this one

• $\sqrt{4^3}$

• $4^{\frac{3}{2}}$

• $4^{\frac{2}{3}}$

Multiple Choice

Remove this one

• $\frac{1}{\sqrt{4^3}}$

• $-4^{\frac{3}{2}}$

• $4^{-\frac{3}{2}}$

Multiple Select

How are you feeling right now?

• Great 😊

• Good 🙂

• Meh 😐

• A little frustrated 🙁

• Really struggling 😩