Question

Se M =2³ e N =2², determine (M² . N³)²
A) 2³⁰
B) 2³²
C) 2⁶
D) 2⁴⁰

Answer 1

Given M = 2³ and N = 2², we calculate (M² · N³)² = (2¶ · 2¶)² = 2³², so the answer is B) 2³².

Step-by-step explanation:

The question asks us to determine the value of (M² · N³)² given that M = 2³ and N = 2².

First, we find the values of M² and N³:

• M² = (2³)² = 2¶
• N³ = (2²)³ = 2¶

Then we multiply these values together:

M² · N³ = 2¶ · 2¶ = 2¶+6 = 2¹²

Finally, we square the result to get the final answer:

(M² · N³)² = (2¹²)² = 2¹²×² = 2³²

Therefore, the answer is B) 2³².