Exponent and Geometry Review

Review and discuss exponents and geometry. This will include laws of exponents, exponential notation and transformations.

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​8.EE.A.1, 8.G.1, *.G.2

​Objective: Review

Multiple Choice

$$4^{-2}$$  

• 16

• -16

• 8

• $$\frac{1}{16}$$  

Multiple Choice

$$\frac{1}{3^5}$$  is the same as

• $$3^{-5}$$  

• $$3^5$$  

• 15

• $$\frac{3}{5}$$  

Multiple Choice

10 raised to negative third power is

• 1000

• 30

• 0.001

• 1/3

Multiple Choice

Rewrite: 4^-3

• $$\frac{1}{4^3}$$  

• $$\frac{1}{4^{-3}}$$  

• $$4^3$$  

• $$\frac{1}{-4^3}$$  

Multiple Choice

Rewrite: -8^-3

• $$\frac{1}{-8^{-3}}$$  

• $$8^3$$  

• $$\frac{1}{8^3}$$  

• $$\frac{1}{-8^3}$$  

Multiple Choice

Evaluate the expression. | 9 |

• 0.9

• 9

• -9

• 90

Multiple Choice

(-10) + (-7)

• -17

• 17

• 3

• -3

Multiple Choice

(-12) + 7

• 5

• -5

• 19

• -19

Multiple Choice

-6 + 12

• -18

• 6

• -6

• NONE OF THESE

Multiple Choice

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.  $$\frac{\text{}y^6}{\text{}y^3}$$  

• Divide

• Add

• Multiply

• Subtract

Multiple Choice

Our first exponent rule says that when you are multiplying two exponents with the same base, you keep the base the same and ________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

Multiple Choice

Simplify:   x² ⋅ x⁵

• x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x 

• x⁷

• x¹⁰

• x ⋅ x

Multiple Choice

4⁰

• 0

• 1

• 4

• -4

Multiple Choice

$$\left(3x\right)^3$$  

• $$9x^3$$  

• $$x^3$$  

• $$27x^3$$  

• $$6x^3$$  

Multiple Choice

Simplify: $$\left(2m\right)^5$$  

• $$10m^5$$  

• $$32m^5$$  

• $$25m^5$$  

• $$\frac{1}{2m^5}$$  

Multiple Choice

What is 1000 written in a power of 10

• $$10^2$$  

• $$10^3$$  

• $$10^4$$  

• $$10^5$$  

Multiple Choice

10^{5 =}

• 100,000

• 1,000

• 1,000,000

• 50

Multiple Choice

What is 47,309 in exponential form?

• (4 × 10⁵) + (7 × 10³) + (3 × 10²) + ( 9 × 10⁰ )

• (4 × 10⁴) + (7 × 10³) + (3 × 10²) + ( 9 × 10⁰ )

• (4 × 10⁴) + (7 × 10³) + (3 × 10²) + ( 9 × 10¹ )

• (4 × 10³) + (7 × 10²) + (3 × 10¹) + ( 9 × 10⁰ )

Multiple Choice

Transformations do not change the measure or length of a shape of angle.

• True

• False

Multiple Choice

A Slide is also called a ______.

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

Identify this transformation.

• Dilation

• Rotation

• Translation

• Reflection

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• 90 degree clockwise rotation

• Reflection across the y-axis

• Translation 4 degrees to the right

• Reflection across the x-axis