Laws of Exponents Review (Add, Subtract, Multiply Powers)

Laws of Exponents Review (Add, Subtract, Multiply Powers)

Multiple Choice

7v³ *10u³v⁵ 

• 70u³v⁶
• 17u³v⁸
• 70u³v⁸
• none of the above

Multiple Choice

2n⁴ * 6n⁴

• 8n⁴
• 12n⁸
• 8n¹⁶
• none of the above

Multiple Choice

6k² * k

• 6
• 6k
• 6k²
• 6k³

Multiple Choice

6m³n³ * 8m²n³

• 48m⁵n⁹
• 48m⁶n⁶
• 48m⁵n⁶
• none of the above

Multiple Choice

To multiply powers, you keep the BASE, and ______ the exponents

• add

• subtract

• multiply

• divide

Multiple Choice

Multiply.
(4x)(3x³)(x³)

• 7x⁹
• 12x¹⁰
• 12x⁷
• 7x⁷

Multiple Choice

• -3x⁴y^-3
• -3x⁵y^-3
• -3x⁴y²
• -3x⁵y²

Multiple Choice

• ^{$9a^8b^{-6}$}

• $-6a^6b$

• $9a^6b$

• ^{$-6a^8b^{-6}$}

Multiple Choice

Multiply.
(x²)³ ⋅ 3x³

• 3x⁸
• 3x¹⁸
• 9x⁹
• 3x⁹

Multiple Choice

Multiply.
-x² ⋅ 3x⁵ ⋅ x^-2

• -3x⁵
• 3x²⁰
• -3x⁹
• 3x^-20

Multiple Choice

Multiply.
3x² ⋅ 2x³

• 5x⁵
• 6x⁶
• 5x⁵
• 6x⁵

Multiple Choice

• 2a⁴b⁴
• 4a³b⁴
• 4a⁸b⁵
• 2a⁴b³

Multiple Choice

• 4³

• 4¹⁵

• 1³

• 1¹⁵

Multiple Choice

• 2y²⁴
• 2¹⁰
• 2y¹⁰
• 2y¹⁴

Multiple Choice

• 1¹⁶
• 1⁶
• 13¹⁶
• 13⁶

Multiple Choice

The quotient law states: Keep the base the same and _________ the exponents.

• multiply
• add
• subtract
• divide

Multiple Choice

To raise a power to ANOTHER power, you ______ the exponents

• add

• subtract

• multiply

• divide

Multiple Choice

 $\left(3n^4\right)^3$  

•  $9n^{12}$  

•  $9n^7$  

•  $27n^7$  

•  $27n^{12}$  

Multiple Choice

 $\left(4yx^4\right)^2$  

•  $8y^3x^6$  

•  $6y^2x^8$  

•  $8y^2x^8$  

•  $16y^2x^8$  

Multiple Choice

 $\left(4a^2b^2c^4\right)^3$  

•  $12a^5b^5c^7$  

•  $64a^6b^6c^{12}$  

•  $12a^5b^5c^7$  

•  $64a^5b^5c^7$  

Multiple Choice

 $\left(u^0v^{-1}\right)^{-1}$  

•  $v$  

•  $uv$  

•  $\frac{1}{v}$  

•  $\frac{v}{u}$