Exponent Review

Exponent Review

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Characteristics of Exponents

Multiple Choice

What is the exponent?

• 7

• 5

• -5

• -7

Multiple Choice

What is the exponent form?
4x4x4x4x4

• 4⁴
• 4⁵
• 5⁵
• 5⁴

Multiple Choice

What is the base?

• 3
• 2
• 6
• 9

Multiple Choice

What is the coefficient of 5x⁷?

• 5

• x

• 7

• No coefficient

Multiple Choice

Expand x⁵

• x⋅x⋅x⋅x⋅x
• 1/x⋅x⋅x⋅x⋅x
• x⁵
• 5

Product of Powers

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

3³ ⋅ 3

• 3⁴

• 3³

• 3⁰

• 1 ⁄ 3⁴

Multiple Choice

Simplify

m⁵⋅m²

• m⁷

• m³

• m¹⁰

• m²

Multiple Choice

(-2)³⋅(-2)⁶

• (-2)⁹
• (-2)¹⁸
• (-2)⁻³
• (-2)

Multiple Choice

(3ab⁵c²)(-4a⁶bc³)

• -1a⁷b⁶c⁵

• -12a⁷b⁶c⁵

• -12a⁶b⁵c⁵

• -1ab⁵c⁶

Quotient of Powers

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

Evaluate the expression using the quotient rule.

• 1

• g¹⁰

• g²⁵

• g

Multiple Choice

Evaluate the expression using the quotient rule.

• $2^{14}z^{13}$

• $\frac{4}{z^7}$

  
  

• $\frac{2^{14}}{z^7}$

• $4z^7$
  

Multiple Choice

Evaluate the expression using the quotient rule.

•  $-81xy^2$  

•  $\frac{63y^2}{18x}$ 

•  $-\frac{21y^2}{6x}$  

•  $-\frac{21x^3}{6y^{16}}$  

Power of Powers

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

(2ab)³

• 8a³b³

• 2ab³

• 6a³b³

• 6ab

Multiple Choice

(4x²y⁶)³

• 12x⁶y¹⁸
• 64x⁶y¹⁸

Multiple Choice

2.) Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰
• 81x¹²y²⁰
• 12x¹²y²⁰
• 81x⁷y⁹

Negative & Zero Exponents

Multiple Choice

Anything raised to a power of zero is always:

• 0

• 1

• itself

• negative

Multiple Choice

5^-2

• -10

• $\frac{1}{25}$

• $\frac{1}{10}$
  

• $-\frac{1}{10}$
  

Multiple Choice

Simplify  $$\left(-\frac{1}{2}\right)^0$$  

• 1

• 0

• -1

• -2

Multiple Choice

Simplify

x⁻⁶

• $\frac{1}{x^6}$

• x⁶

• -x⁶

• $-\frac{1}{x^6}$
  

Multiple Choice

4⁰

• 0

• 1

• 4

• -4

Multiple Choice

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

Multiple Choice

• 2x⁸yz¹⁵

• 2x⁸z¹⁵

• 39x⁸yz¹⁵

• 2x⁹yz¹⁵

Congratulations! You are are ready for your test!

See you Wednesday!