Exponent Rules

Exponent Rules

Multiple Choice

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

Multiple Choice

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

Multiple Choice

 $365^0=$  

• 0

• 1

• 365

•  $\frac{1}{365}$  

Multiple Choice

 $y^0=$  

• y

• 0

• 1

• 10

Multiple Choice

 $m^2\cdot m^6\cdot m=$  

•  $m^8$  

•  $m^{12}$  

•  $m^4$  

•  $m^9$  

Multiple Choice

9⁷•9⁹

• 9¹⁶
• 99⁷⁹
• 81¹⁶

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Multiple Choice

True or False?

• True
• False

Multiple Choice

Simplify

(x³y⁵)⁴

• x⁷y²⁰

• x¹²y²⁰

• x¹²y⁹

• x⁷y⁹

Multiple Choice

Simplify the following expression:

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

Multiple Choice

• 4³

• 4¹⁵

• 1³

• 1¹⁵

Multiple Choice

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

Multiple Choice

 $\frac{5^5}{5^4}$  

•  $1$  

•  $5^9$  

•  $5^{ }$  

Multiple Choice

 $\left(3n^4\right)^3$  

•  $9n^{12}$  

•  $9n^7$  

•  $27n^7$  

•  $27n^{12}$  

Multiple Choice

Simplify:
(5ab²)²

• 25a²b⁴
• 10a²b⁴
• 5a²b⁴
• 25ab²

Multiple Choice

 $\left(u^3v\right)^2$  

•  $u^5v^3$  

•  $u^5v^2$  

•  $u^6v^2$  

•  $u^6v^3$  

Multiple Choice

Which is equivalent to 6 x 6 x 5 x 5 x 5

• (6 x 2)(5 x 3)

• 6³ x 5²

• 6² x 5³

• 6 + 6 + 5 + 5 + 5

Multiple Choice

Simplify the expression:
 $\left(\frac{a}{b}\right)^8$  

•  $\frac{a^8}{b^8}$  

•  $\frac{b^8}{a^8}$  

•  $ab^8$  

•  $a^8b^8$  

Multiple Choice

Simplify the following:
 $\left(\frac{h^7}{4}\right)^3$  

•  $\frac{h^{21}}{4^3}$  

•  $64h^{21}$  

•  $\frac{h^{21}}{4}$  

Multiple Choice

Simplify the following:
 $\left(\frac{x^2}{y^3}\right)^4$  

•  $\frac{x^8}{y^{12}}$  

•  $\frac{x^6}{y^7}$  

•  $x^8y^{12}$  

Multiple Choice

 $\left(ab^2\right)^8$  =

•  $ab^{16}$  

•  $a^8b^{16}$  

•  $a^9b^{10}$  

•  $ab^{10}$  

Multiple Choice

 $\frac{a^5b^{10}}{a^3b^6}=$  

•  $a^8b^{16}$  

•  $a^2b^4$  

•  $a^{15}b^{60}$  

•  $a^2b^{16}$  

Multiple Choice

 $\left(x^7\right)^2$  =

•  $x^{14}$  

•  $x^9$  

•  $x^5$  

•  $2x^7$  

Multiple Choice

X² ⋅ X³ ⋅ X⁴ ⋅ X

• x⁹
• x²⁴
• x¹⁰
• x²⁵

Multiple Choice

3³ ⋅ 3

• 3⁴
• 3³
• 3⁰
• 1 ⁄ 3⁴

Multiple Choice

8⁷ ⁄ 8²

• 8⁵
• 8⁹
• 8¹⁴
• 1⁵

Multiple Choice

Simplify   (2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Multiple Choice

Simplify to an equivalent expression BUT leave in exponent form.
                                   4³⋅4⁵

• 4⁸
• 16⁸
• 4¹⁵
• 16¹⁵

Multiple Choice

^simplify 5x³ 2x²

• 10x⁵
• 3x
• 10x⁶
• 7x⁵

Multiple Choice

• -15x²yz⁴
• 1

Multiple Choice

• -30x¹¹
• -30x¹⁸
• -x¹¹
• -x¹⁸

Multiple Choice

9n⁴ . 6n⁷

• 15n¹¹
• 54n²⁸
• 3n³
• 54n¹¹

Multiple Choice

15y² . (2y)³

• 120y⁵
• 120y⁶
• 30y⁵
• 30y⁶