Exponents and Square Roots

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

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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 $$4^{-3}$$  .

• $$-12$$  

• $$\frac{1}{64}$$  

• $$-64$$  

• $$\frac{1}{4^3}$$  

• $$64$$  

The main question:

What number multiplied by itself "n" times equals x?​

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Perfect Squares, Roots, & Cubes

Roots & Radicals

Squares and Square Roots

Multiple Choice

$$\sqrt{64}=$$  

• $$32$$  

• $$4$$  

• $$8$$  

• $$64^2$$  

Cubes and 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