10/3 Extra Practice

​10/3 Extra Practice

By Mrs. Botzenhart

Match

Match the Rules to their equations

Product Rule

Quotient Rule

Negative Exponent Rule

Power Rule

• Product Rule

• Quotient Rule

• Negative Exponent Rule

• Power Rule

Multiple Choice

THE PRODUCT RULE FOR EXPONENTS YOU....

• subtract

• add

• multiply

• divide

Multiple Choice

QUOTIENT RULE FOR EXPONENTS YOU....

• add

• divide

• multiply

• subtract

Multiple Choice

The power rule for exponents you....

• divide

• multiply

• subtract

• add

Multiple Choice

$$5^3\cdot5^4$$  

• $$5^2$$  

• $$5^7$$  

• $$5^6$$  

• $$5^{10}$$  

Multiple Choice

$$\frac{5^3}{5^2}$$  

• $$5$$  

• $$5^5$$  

• $$5^2$$  

• $$5^8$$  

Multiple Choice

$$\frac{7^3}{7^{10}}$$  

• $$7^7$$  

• $$\frac{1}{7^7}$$  

• $$7^{13}$$  

• $$\frac{1}{7^{13}}$$  

Multiple Choice

$$5^{-1}$$  

• $$\frac{1}{5}$$  

• $$\frac{1}{5^{100}}$$  

• $$\frac{1}{5^3}$$  

• $$\frac{1}{5^2}$$  

Multiple Choice

$$\left(7^3\right)^4$$  

• $$7^{12}$$  

• $$7^7$$  

• $$7^1$$  

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

(-2)³⋅(-2)⁶

• (-2)⁹
• (-2)¹⁸
• (-2)⁻³
• (-2)

Multiple Choice

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

Multiple Choice

Rewrite using positive exponents

• 2⁴

• 1/2⁴

• 4²

• 1/4²

Multiple Choice

Using exponents, simplify the following expression

• x^-7

• 1/x⁷

• x⁷

• x^-9

Multiple Choice

Which two exponent rules do you need to use to simplify this expression?

• Product Rule and Quotient Rule

• Power Rule and Negative Exponent Rule

• Power Rule and Product Rule

• Zero Rule and Power Rule

Multiple Choice

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Multiple Choice

Evaluate the expression using the quotient rule.

• 3⁴
• 1/3⁴
• 3^-12
• 3³²

Multiple Choice

Which expression is equivalent to the given?

Multiple Choice

Which expression is equivalent to the given?

Challenge Question

Multiple Select

Select all the equivalent expressions to $$\left(2^3\right)^4$$

• $$2^{12}$$

• $$\left(2^3\right)\left(2^3\right)\left(2^3\right)\left(2^3\right)$$

• $$\left(2^4\right)^3$$

• 24

Multiple Choice

Simplify the expression using the quotient rule.

• 1²²

• 1³⁰

• 6²²

• 6³⁰

Multiple Choice

Simplify:   6x² ⋅ 2y⁴ ⋅ x

• 36x³16y⁴
• 6x³y⁴
• 12x³y⁴
• 8x³y⁴

Multiple Choice

Simplify: $$\frac{12x^5y^4}{2x^9y}$$  

• $$6x^{-4}y^3$$  

• $$\frac{6y^3}{x^4}$$  

• $$\frac{12y^3}{2x^4}$$  

• $$\frac{6x^4}{y^3}$$  

Multiple Select

Select all the equivalent expressions to $$\left(\frac{1}{3}\right)^4$$

• $$\frac{1^4}{3^4}$$

• $$\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)\left(\frac{1}{3}\right)$$

• $$\frac{1}{81}$$

• 12

Multiple Select

Select all the equivalent expressions to $$\left(2^3\right)^4$$

• $$2^{12}$$

• $$\left(2^3\right)\left(2^3\right)\left(2^3\right)\left(2^3\right)$$

• $$\left(2^4\right)^3$$

• 24

Multiple Choice

Evaluate.

• 0

• 1

• 7

• 70

Multiple Choice

Simplify
(x²)³

• x³
• x⁵
• x⁶
• x⁴

Multiple Choice

Simplify

• y²
• y³⁵
• y¹²
• y¹⁴

Multiple Choice

Simplify

$$x^2\cdot x^8$$  

• $$x^{10}$$  

• $$x^{16}$$  

• $$x^6$$  

• $$x^4$$  

Multiple Choice

Simplify completely: 4²4³

• 4⁶

• 16⁵

• 4⁵

Multiple Choice

$$x^{-3}\cdot x^7\cdot x^2$$  =

• $$x^6$$  

• $$x^{12}$$  

• $$x^{-42}$$  

• $$x^{-12}$$  

Multiple Choice

$$\frac{9x^2}{3x^{ }}=$$  

• $$3x^2$$  

• $$3x$$

• $$9x$$  

• $$6x$$  

Multiple Choice

$$17^0$$  

• 0

• 1

• -1

• 17

Multiple Choice

$$16^{-5}$$  

• $$\frac{1}{16^{-5}}$$  

• $$\frac{1}{16^5}$$  

• $$\frac{1}{11}$$  

• 11

Multiple Choice

$$\frac{1}{2^{-3}}$$  

• 1

• -1

• -8

• 8

Multiple Choice

Simplify:

$$7^8\cdot7$$  

•   $$7^9$$  

•   $$49^8$$  

• $$7^8$$  

• None of the above