P2: Properties of Exponents

​P2: Properties of Exponents

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Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents. #1

Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

Multiple Choice

4³ x 4³

^#16

• 4⁶

• 4⁹

• 16⁶

• 16⁹

Multiple Choice

Simplify:  (x⁸)(x^-5)

#13

• x^-40
• x^-13
• x¹³
• x³

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Multiple Choice

According to exponent rules, when we raise a power to a power we _______ the exponents. Example: (d²)⁵

^#2

• add
• subtract
• multiply
• divide

Multiple Choice

Select the expression that is equivalent (equal) to (7⁶)⁴. #5

• 7¹⁰

• 7²

• 7²⁴

• 7²⁷

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Multiple Choice

Anything raised to a power of zero is always: #22

• 0
• 1
• itself
• negative

Multiple Choice

(34x⁵y⁶z^-7)⁰

^#29

• 34x⁵y⁶ / z⁷
• 34x⁵y⁶ / x^-7
• 0
• 1

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Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents. Example: h⁸ / h³

^#4

• add
• subtract
• multiply
• divide

Multiple Choice

Select the expression equivalent (equal) to $$\frac{6^8}{6^3}$$  . #7

• $$6^{11}$$  

• $$6^5$$  

• $$6^{24}$$  

• $$6^{-5}$$  

Multiple Choice

Which expression is equivalent (equal) to $$\frac{10^{-3}}{10^9}$$  .#11

• $$10^{-12}$$  

• $$10^{-6}$$  

• $$10^6$$  

• $$10^{-27}$$  

Multiple Choice

 Simplify the expression using the properties of exponents.     $$\frac{t^{12}u^7}{t^2u}$$  #14

• $$t^{14}u^8$$  

• $$t^{24}u^7$$  

• $$t^{10}u^7$$  

• $$t^{10}u^6$$  

Multiple Choice

Which expression is equivalent (equal) to $$\frac{\left(6^{-4}\right)^{-2}}{6^2}$$  .#12

• $$6^6$$  

• $$6^{-10}$$  

• $$6^{-8}$$  

• $$6^{10}$$  

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Multiple Choice

How would you write 564,000,000 in scientific notation? #43

• 5.64 x 10^-7
• 5.64 x 10⁶
• 5.64 x 10⁸
• 56.4 x 10⁷

Multiple Choice

Write 0.00000707 in scientific notation. #44

• 7.07 x 10^-6
• 7.07 x 10⁶
• 707 x 10⁸
• 707 x 10^-8

Multiple Choice

Multiply: #45

(3.4 x 10⁵)(1.2 x 10^-3)

• 4.08 x 10^-8
• 4.8 x 10²
• 4.08 x 10²
• 4.08 x 10^-15