Question

Can I get some help with this question

Answer 1

Question :

If a⁵ = 3⁵, simplify (2a)⁷ ?

1. 3⁷
2. 3⁸
3. 6⁶
4. 6⁷

Answer :

• D option 6⁷ is the right answer.

Explanation :

Given :

• a⁵ = 3⁵

To Find :

• (2a)⁷

Solution :

As, we have a⁵ = 3⁵

We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.

∴ a = 3

Now, we have to find (2a)⁷, so by substituting a = 3, we have :

⟹ (2a)⁷ = (2 × 3)⁷

⟹ (2a)⁷ = (6)⁷

⟹ (2a)⁷ = 6⁷

Therefore, correct answer is 6⁷.

Hence, correct option is D.