Question :
If a⁵ = 3⁵, simplify (2a)⁷ ?
- 3⁷
- 3⁸
- 6⁶
- 6⁷
Answer :
- D option 6⁷ is the right answer.
Explanation :
Given :
To Find :
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.
