Question

Help, I am confused although I think this is simple

Answer 1

A) 8

Explanation:

Factor the number: 512=
`8^(3)`

=
`\sqrt[3]{8^(3) }`

Apply the radical rule:
`\sqrt[n]{a^(n) }` = a, a
`\geq`0

You get your answer: 8

Answer 2

What is the cubic root?

Similarly to the square root of a number (most commonly seen using this symbol: √) the cubic root of a number is number that, when multiplied by itself 3 times gives you the original value.

For example: ∛8 = _ × _ × _ = 8

What number, when multiplied by itself 3 times gives you the number 8?

2 × 2 × 2 = 8 so ∛8 = 2

Now for your question, multiply the answer choices by themselves 3 times to see which gives you the answer of 512:

• 8 × 8 × 8 = 512
• 32 × 32 × 32 = 32768
• 192 × 192 × 192 = 7077888
• 1536 × 1536 × 1536 = 3.6 ×
  `10^(9)`

YOUR ANSWER IS A