Exponents - Review Lesson

Exponents - Review Lesson

This is a major review lesson on exponents. Take your time, read and work through each problem carefully!

Multiple Choice

Which has a greater value?

2³ or 3²

• 3²

• 2³

Multiple Choice

What does the term"cubed" mean?

• raised to the power of 2

• raised to the power of 3

• raised to the power of 4

Multiple Choice

What does the term "squared" mean?

• raised to the power of 3

• raised to the power of 4

• raised to the power of 2

Multiple Choice

3⁴ is bigger than 4³.

• True
• False

Multiple Choice

Which is GREATER?

2⁷ or 7²

• 2⁷

• 7²

• Neither, they are equal

Multiple Choice

Which is GREATER?

2⁷ or 7²

• 2⁷

• 7²

• Neither, they are equal

Multiple Choice

What operation do you use with exponents?

• addition
• subtraction
• multiplication
• division

Multiple Choice

Which number is the VALUE (standard form)?
2⁴ = 16

• 2
• 4
• 16

Multiple Choice

Which number is the EXPONENT?
4^{2 =} 16

• 4
• 2
• 16

Multiple Choice

Which number is the BASE?
2³ = 8

• 2
• 3
• 8

Multiple Choice

Another name for exponent is _______________ .

• radical
• base
• power
• fractional

Multiple Choice

What is the Exponent in the following example?
-2⁵

• -2
• 2
• 5
• -2⁵

Multiple Choice

What is the BASE in the power below?
4³

• 4
• 3
• 4³
• 64

Multiple Choice

Write each product using an exponent. 
14 x 14 

• 2¹⁴
• 14²
• 14
• 14¹⁴

Multiple Choice

What is the value of 2⁵?

• 32
• 16
• 10
• 8

Multiple Choice

What is another way to write 6³?

• 6 × 6 × 6
• 3 × 3 × 3 × 3 × 3 × 3
• 6 + 6 + 6
• 6 × 3

Multiple Choice

What is another way to write 7 cubed?

• 7 × 7 × 7
• 3 × 3 × 3 × 3 × 3 × 3 × 3
• 21
• 7 + 3

Multiple Choice

Which is equivalent to 3⁴

• 27
• 9
• 81
• 12

Multiple Choice

How do you correctly say 4³

• 4 squared
• 3 quadrupled
• 4 cubed
• 4 to the power of 2

Multiple Choice

What is equivalent to 5 squared?

• 25
• 10
• 55
• 30

Multiple Choice

Write each product using an exponent. 
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 

• 7⁷
• 7⁸
• 8⁷
• 7⁹

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

• 5³
• 5⁴
• 4⁵
• 5⁵

Multiple Choice

Which is equivalent to 2⁴

• 8
• 20
• 16
• 12

Multiple Choice

Write each product using an exponent.

4 x 4 x 4 x 4 x 4

• 4⁵

• 5⁴

• 4⁶

• 4⁶

Multiple Choice

According to exponent rules, when we raise the coefficients to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we divide the coefficients we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

According to exponent rules, when we divide the coefficients we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

Multiply:  (-5a³)²  ⋅  (3a⁶b)² 

• -15a¹⁸b²
• 225a¹⁸b²
• -225a¹⁸b²
• 200a¹⁷b²

Multiple Choice

Simplify:

(x⁵y⁴z³)²

• x¹⁰y⁸z⁶

• x⁷y⁶z⁵

• x¹⁰y⁶z⁵

• x²⁵y¹⁶z⁹

Multiple Choice

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

SIMPLIFY
(5x²y)³ (x³y²)³

• 125x¹⁵y⁹
• 15x¹¹y⁸
• Gobble Gobble
• 15x²y³

Multiple Choice

(-4x⁴y²z³)(7x²y)

• 28x⁸y⁴z³
• 11x⁶y³z³
• -28x⁶y³z³
• 3x⁶y³z³

Multiple Choice

-3g⁵ ⋅ 4g⁶

• -7g¹¹
• 12g³⁰
• -7g³⁰
• -12g¹¹

Multiple Choice

Simplify:
(7y⁴)²

• 7y⁶
• 14y⁸
• 14y⁶
• 49y⁸

Multiple Choice

Simplify:
(5ab²)²

• 25a²b⁴
• 10a²b⁴
• 5a²b⁴
• 25ab²

Multiple Choice

Write the product as one power. 
5⁵ * 5⁹

• 5¹⁴
• 5
• 25
• 5⁴

Multiple Choice

What is the product rule?

•  $x^a\cdot x^b=x^{a+b}$  

•  $\frac{x^a}{x^b}=x^{a-b}$  

•  $\left(x^a\right)^b=x^{a\times b}$  

Multiple Choice

(-8x¹⁰y⁹)²

• -16x²⁰y¹⁸
• 64x¹²y¹¹
• 64x²⁰y¹⁸
• -16x¹²y¹¹

Multiple Choice

(6cd⁵)(5c⁵d²)

• 30c⁶d⁷
• 11c⁶d⁷
• 30c⁵d¹⁰
• 11c⁵d¹⁰

Multiple Choice

(-2f²g³)³

• 8f⁵g⁶
• - 8f⁵g⁶
• - 8f⁶g⁹
• 8f⁶g⁹

Multiple Choice

(9w²x⁸)(w⁶x⁴)

• 9w⁸x¹²

• 9w¹²x³²

• 81w⁸x¹²

• 81w¹²x³²

Multiple Choice

(-2u²)(6u⁶)

• -12u⁸

• -12u¹²

• 4u⁸

• 4u¹²

Multiple Choice

(-3y)³

• 9y³
• -27y³
• -9y³
• -3y³

Multiple Choice

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Multiple Choice

(q²)(2q⁴)

• 2q⁸

• 2q⁶

• 16q⁶

• 16q⁸

Multiple Choice

a²(a³)(a⁶)

• a¹¹

• a³⁶

• a20

• 3a¹²

Multiple Choice

(a⁴)⁶

• a⁴⁶

• a²⁴

• a¹⁰

Multiple Choice

 $\frac{\left(2x^5y^5\right)^5}{x^5}$  

Simplify

•  $2x^{20}y^{25}$  

•  $2x^5y^{25}$  

•  $32x^{20}y^{25}$  

•  $32x^5y^{25}$  

Multiple Choice

 $\frac{\left(2x^4y^4\right)\left(2x^3y\right)}{3y^2}$  

Simplify

•  $\frac{4x^7y^3}{3}$  

•  $\frac{4x^7}{3y^3}$  

•  $12x^7y^3$  

•  $4x^{12}y^2$  

Multiple Choice

 $\left(\frac{xy^4}{2x^2y^2}\right)^4$  

Simplify

•  $\frac{y^8}{8x^4}$  

•  $\frac{y^8}{16x^4}$  

•  $\frac{y^2}{16x^4}$  

•  $\frac{y^2}{8x^4}$  

Multiple Choice

 $\left(\frac{2ab}{a^2b^3}\right)^2$  

Simplify

•  $4a^6b^8$  

•  $\frac{4}{a^2b^3}$  

•  $\frac{2}{a^2b^4}$  

•  $\frac{4}{a^2b^4}$  

Multiple Choice

 Simplify $\frac{2x^2}{4x^3y^3}$ 

•  $2xy^3$  

•  $\frac{1}{2xy^3}$  

•  $\frac{x}{2y^3}$  

•  $\frac{8}{xy^3}$  

Multiple Choice

• 27

• 3

• 9

• 40

Multiple Choice

• 7

• 14

• 49

• 2

Multiple Choice

• w^-3

• w³

• w²

• w^-13

Multiple Choice

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

Multiple Choice

• a²b²/9

• ab/9

• 9ab

• ab²/9

Multiple Choice

• 1/r⁴

• r⁴

• r²

• 1/r²

Multiple Choice

• x³

• x^-3

• x⁷

• x¹⁰

Multiple Choice

Evaluate the expression using the quotient of power rule.

• 1
• g¹⁰
• g²⁵
• g

Multiple Choice

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰
• a⁸b⁷

Multiple Choice

• 0

• x

• 1

• x¹²

Multiple Choice

• x¹²

• x⁶

• x^-6

• x^-12

Multiple Choice

• x⁴y⁴

• x⁸y⁴

• x^-4y¹²

• x⁸y¹²

Multiple Choice

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

Multiple Choice

• w^-3

• w³

• w²

• w^-13

Multiple Choice

Can you leave a negative exponent in your answer?

• YES

• NO

Multiple Choice

Simplify x^-7

• -7

• -7x

• 1/x⁷

• -1/x⁷

Multiple Choice

Evaluate the expression using the quotient rule.

• 1
• g^10
• g^25
• g

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

 Simplify

• m⁷/n²
• n²/m⁷
• m¹⁹/n⁴
• n^-2m^-7

Multiple Choice

Simplify

• 7a⁵/b³
• b³/7a⁵
• 7b³/a^-5
• 7b³ /a⁵

Multiple Choice

Simplify

• a³b²/4

• 4a³/b²

• 4/a³b²

• 1/4a³b²

Multiple Choice

Simplify

• -1/14

• 1/14

• -1/49

• 1/49

Multiple Choice

Simplify

• 1/16

• -1/32

• 1/32

• 1/10

Multiple Choice

Simplify

• -12

• -1/12^-1

• -1/12

• 1/12

Multiple Choice

Simplify x²y^-5

• 1/x²y⁵
• x²/y⁵
• y⁵/x²
• x²/y^-5

Multiple Choice

Simplify (34x⁵y⁶z^-7)⁰

• 34x⁵y⁶ / z⁷
• 34x⁵y⁶ / x^-7
• 0
• 1

Multiple Choice

Simplify -5x²y^-3

• -5x²/y³
• x²/5y³
• x²y³/-5
• y^-3/-5x²

Multiple Choice

Simplify.
113.7⁰

• 1
• 11300
• 0
• 1/113.7

Multiple Choice

Simplify

• -1

• 1/32

• -1/32

• 1

Multiple Choice

Solve (-8)^-2

• 1/(-8)²

• 1/8²

• 1/16

• -64

Multiple Choice

What is 10⁰ equivalent to?

• 1
• 10
• 0
• 100

Multiple Choice

Rewrite each expression with a negative exponent.
¹/_12⁴

• ¹/_12^-4
• 12⁴
• ¹/_20,736
• 12^-4

Multiple Choice

  Simplify    7^-2

•  1/49
• -49
• -14
• 1/14

Multiple Choice

x⁻⁶

• 1 ⁄ x⁶
• x⁶
• -x⁶
• -1 ⁄ x⁶

Multiple Choice

Simplify as a positive power.

s^-5 ⋅ s^-2

• s^-3

• ¹/_s⁷

• s^-7

• ¹/_s³

Multiple Choice

Rewrite using a positive exponent.
w^-13

• -w¹³
• ¹/_w¹³
• ¹/_w^-13
• w¹³

Multiple Choice

Simplify y⁰

• y
• 0
• 1
• 1y

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷

Multiple Choice

Which is greater,  2654⁰ or 5⁰?

• 2654⁰
• 5⁰
• They are the same
• Zero is greater

Multiple Choice

Make this negative exponent positive.

9^-3

• 9³

• 1/9^-3

• 1/9³

• 729