[powers of monomials][section 33]

(1.) (3a²b)² here is the problem

= 9a⁴b² square 3, multiply exponents

result: 9a⁴b²

(2.) (6a²)³ here is the problem

= 216a⁶ cube 6, multiply exponents

result: 216a⁶

(3.) (2x⁵)² here is the problem

= 4x¹⁰ square 2, multiply exponents

result: 4x¹⁰

(4.) (3a²b⁴)² here is the problem

= 9a⁴b⁸ square 3, multiply exponents

result: 9a⁴b⁸

(5.) (4x³y²)³ here is the problem

= 64x⁹y⁶ cube 4, multiply exponents

result: 64x⁹y⁶

(6.) (2m³n²)⁴ here is the problem

= 16m¹²n⁸ raise 2 to the 4th power, multiply exponents

result: 16m¹²n⁸

(7.) (2x³y²)⁶ here is the problem

= 64x¹⁸y¹² raise 2 to the 6th power, multiply exponents

result: 64x¹⁸y¹²

(8.) (x²y)⁴ here is the problem

= x⁸y⁴ multiply exponents

result: x⁸y⁴

(9.) (-x⁴y³)² here is the problem

= x⁸y⁶ multiply exponents

result: x⁸y⁶

(10.) (16x³y²)² here is the problem

= 256x⁶y⁴ square 16, multiply exponents

result: 256x⁶y⁴