Question

35 POINTS URGENT!

Which expression is equivalent to (ab^3)^4?

Group of answer choices

a^4b^12

ab^12

a^5b^4

ab^7

Answer 1

Question:

Which expression is equivalent to (ab³)⁴?

Group of answer choices

• a⁴b¹²
• ab¹²
• a⁵b⁴
• ab⁷

Answer :

• The correct option is a⁴b¹².

Solution :

We are given (ab³)⁴ and we have to find the expression which is equivalent to it. To find the answer, we have to solve the equation.

• (ab³)⁴

We know that, while solving this kind of equation, power outside the bracket will multiply with power inside the bracket.

=> (ab³)⁴ = (a¹ × b³)⁴ = a^(1×4) b^(3×4)

= a⁴b¹²

Hence, the correct option is first one, which is a⁴b¹².

Answer 2

a) a⁴b¹²

Explanation:

Given expression,

→ (ab³)⁴

Let's simplify the expression,

→ (ab³)⁴

→ (a)⁴ × (b)^(3 × 4)

→ (a)⁴ × (b)^12

→ (a)⁴ × (b)¹²

→ a⁴b¹²

Hence, option (a) is correct.