Question

(4m²n⁴)³*(-2n5(степени))6степень

Answer 1

(4m²n⁴)³*(-2n⁵)⁶= 64m⁶n¹²*64n³⁰= 4096m⁶n⁴²

Answer 2

To simplify the given expression (4m²n⁴)³ * (-2n^5)^6, let's break it down step by step:

Step 1: Simplify the exponent of (4m²n⁴)³ (4m²n⁴)³ = 4³m^(23)n^(43) = 64m^6n^12

Step 2: Simplify the exponent of (-2n^5)^6 (-2n^5)^6 = (-2)^6(n^5)^6 = 64n^30

Step 3: Multiply the simplified expressions: 64m^6n^12 * 64n^30

Step 4: Combine like terms: (64 * 64) * (m^6 * n^12 * n^30) = 4096m^6n^42

Therefore, the simplified expression is 4096m^6n^42.