Exponents, Squares, Square Roots, Cubes, and Cube Roots

Exponents, Squares, Square Roots, Cubes, and Cube Roots

Exponents

Exponents represent repeated multiplication.

Poll

Is  $8^3$  the same thing as  $8\times3$  ?

• Yes

• No

Poll

Is $\left(-3\right)^2$  the same thing as  $-3^2$  ?

• Yes

• No

Multiple Select

Select all the expressions that are equivalent to $7^2$ .

•  $14$  

•  $7\times7$  

•  $7\times2$  

•  $49$  

•  $7+2$  

Zero Exponents

Any non-zero number raised to the zero power is 1.

Multiple Choice

 $x^0=$  

• 0

• 1

• x

• -x

Negative Exponents

Negative exponents means the reciprocal of the positive power.

Multiple Select

Select all the expressions that are equivalent to $4^{-3}$  .

•  $-12$  

•  $\frac{1}{64}$  

•  $-64$  

•  $\frac{1}{4^3}$  

•  $64$  

Squares and Square Roots

• Perfect Squares are the squares of an integer

• Square Roots are the opposite of squaring a number

• The radical sign,

   $\sqrt{ }$  represents square roots

Multiple Choice

 $\sqrt{64}=$  

•  $32$  

•  $4$  

•  $8$  

•  $64^2$  

Cubes and Cube Roots

• Perfect cubes are the cubes of an integer

• Cube Roots are the opposite of cubing a number

•  $^3\sqrt{ }$  is the symbol for cube roots

Multiple Choice

 $3^3=$  

•  $9$  

•  $27$  

•  $6$  

•  $12$  

Multiple Choice

 $^{3\sqrt{8}}$  

•  $\frac{8}{3}$  

•  $2$  

•  $512$  

•  $5$  

Open Ended

Well done! Please write one question you still have about exponents, squares, or cubes!

Multiple Choice

 $x^0=$  

• 0

• 1

• x

• -x