Question

Can someone help with these two answer

Answer 1

Answer:

5. 2¯⁶ or 1/2⁶

6. 2⁹

Step-by-step explanation:

5. Simplify 2⁴ ÷ 2¹⁰

The above expression can be simplified as follow:

2⁴ ÷ 2¹⁰

Recall

Aⁿ ÷ Aᵐ = Aⁿ¯ᵐ

Thus,

2⁴ ÷ 2¹⁰ = 2⁴ ¯ ¹⁰

2⁴ ÷ 2¹⁰ = 2¯⁶

Recall:

A¯ⁿ = 1/Aⁿ

Thus,

2¯⁶ = 1/2⁶

Therefore,

2⁴ ÷ 2¹⁰ = 2¯⁶ or 1/2⁶

6. Simplify 2³ × (2²)³

2³ × (2²)³ can be simplified as follow:

2³ × (2²)³

Recall

(Aⁿ)ᵐ = Aⁿ*ᵐ

Thus,

(2²)³ = 2²*³

(2²)³ = 2⁶

2³ × (2²)³ = 2³ × 2⁶

Recall

Aⁿ × Aᵐ = Aⁿ⁺ᵐ

2³ × 2⁶ = 2³⁺⁶

2³ × 2⁶ = 2⁹

Therefore,

2³ × (2²)³ = 2⁹