Question

1. solve the equation $y^3 = \frac{64}{729}$. show your work and explain your steps.

Explanation:

Step1: Take cube root of both sides

$$y = \sqrt[3]{\frac{64}{729}}$$

Step2: Split root into numerator/denominator

$$y = \frac{\sqrt[3]{64}}{\sqrt[3]{729}}$$

Step3: Evaluate cube roots

$\sqrt[3]{64}=4$, $\sqrt[3]{729}=9$, so $y = \frac{4}{9}$

Answer:

$y = \frac{4}{9}$