Question

Which expression is equivalent to 4√144a^12b^3?

PLEASE answer thank you!

Answer 1

The answer is A) on edge

2a^ (4 sqrt 9b^3)

Explanation:

Did the test

Answer 2

Answer:
`2a^3\sqrt[4]{9b^3}` is equivalent to
`\sqrt[4]{144a^(12)b^3}`.

Explanation: Since, given expression,
`\sqrt[4]{144a^(12)b^3}`

Since, we can write,

`\sqrt[4]{144a^(12)b^3}=\sqrt[4]{16*9* (a^3)^4 b^3}` (because, a^{mn}=(a^n)^m

⇒
`\sqrt[4]{144a^(12)b^3}=\sqrt[4]{(2)^4*9* (a^3)^4* b^3}`

⇒
`\sqrt[4]{144a^(12)b^3}=2a^3\sqrt[4]{9 * b^3}`