Question

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

Answer 1

Answer:

$\sqrt[3]{4}$

Step-by-step 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.

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

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