The problem asks us to evaluate two expressions: a) $0.05^2$ b) $\sqrt[3]{0.027}$

1. Problem Description

The problem asks us to evaluate two expressions:

a) $0.05^2$

b) $\sqrt[3]{0.027}$

2. Solution Steps

a) To evaluate $0.05^2$, we need to calculate $0.05 \times 0.05$.

$0.05 \times 0.05 = 0.0025$

b) To evaluate $\sqrt[3]{0.027}$, we need to find a number that, when multiplied by itself three times, equals $0.027$.

We know that $3^3 = 27$. We also know that $0.3 \times 0.3 \times 0.3 = 0.027$.

So, $\sqrt[3]{0.027} = 0.3$.

3. Final Answer

a) $0.0025$

b) $0.3$