Do not use a calculator. Dll variable bases are positive. 1. Determine: a) $$ \sqrt[3]{64} $$ c) $$ \sqrt[3]{-27} $$

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Let's solve each part step by step.

### Part a: $$ \sqrt[3]{64} $$

To find the cube root of 64, we need to determine which number, when multiplied by itself three times, equals 64.

1. **Identify the number**: We can express 64 as $$ 4 \times 4 \times 4 $$ or $$ 4^3 $$.
2. **Cube root calculation**: Therefore, the cube root of 64 is:
   $$
   \sqrt[3]{64} = 4
   $$

### Part c: $$ \sqrt[3]{-27} $$

For the cube root of -27, we follow a similar process:

1. **Identify the number**: We can express -27 as $$ -3 \times -3 \times -3 $$ or $$ (-3)^3 $$.
2. **Cube root calculation**: Therefore, the cube root of -27 is:
   $$
   \sqrt[3]{-27} = -3
   $$

### Summary of Results
- $$ \sqrt[3]{64} = 4 $$
- $$ \sqrt[3]{-27} = -3 $$
$$ \sqrt[3]{64} = 4 $$ and $$ \sqrt[3]{-27} = -3 $$.

Do not use a calculator. Dll variable bases are positive. 1. Determine: a) \( \sqrt[3]{64} \) c) \( \sqrt[3]{-27} \)

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