223k views
4 votes
Can someone help with these two answer

Can someone help with these two answer-example-1
User Phenry
by
8.2k points

1 Answer

1 vote

Answer:

5. 2¯⁶ or 1/2⁶

6. 2⁹

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

User Smail Galijasevic
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories