Question

What is the correct answer to this multiple choice question? Please help!

Answer 1

`\sqrt[3]{4}`

Explanation:

To solve this we need to take the square root of both sides with a certain degree.

`4^6 = a^(18)`

We can take the root of both sides with a degree of 18.

`\sqrt[18]{4^6} = \sqrt[18]{a^(18)} \\(4^6)^{(1)/(18) } = a\\a = 4^{(6)/(18) } = 4^{(1)/(3) } = \sqrt[3]{4}`

It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.

It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15