Product and Powers Laws

Simplify the following expression:

(7a²)(5a⁶b)²

• 35a¹⁴b²

• 175a¹²b²

• 175a¹⁴b²

• 35a¹⁴b

Simplify the following expression:

(3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

Simplify.

(-2mn) (3m²n⁴)²

• -18m⁵n⁹

• -12m⁵n⁹

• -18m⁵n⁷

• -12m⁵n⁷

Simplify the monomials.
 $\left(m^2n^7\right)^3$  

•  $m^6n^{21}$  

•  $m^6n^7$  

•  $m^2n^{21}$  

•  $m^5n^{10}$  

Simplify the following expression:

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify:
(5ab²)²

• 25a²b⁴
• 10a²b⁴
• 5a²b⁴
• 25ab²

2x⁵(4x)²

• 64x⁷

• 32x⁷

• 32x¹⁰

• 16x⁷

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵