Question

Please help! It’s Saturday and I only have this question left on my digital worksheet!

Answer 1

The answer is option C

Explanation:

`\frac{ {6}^( - 3) }{ {6}^(5) }`

Using the rules of indices

Since the bases are the same and are dividing we subtract the exponents

That's

`\frac{ {a}^(x) }{ {a}^(y) } = {a}^(x - y)`

So we have

`\frac{ {6}^( - 3) }{ {6}^(5) } = {6}^( - 3 - 5) = {6}^( - 8)`

Using the rules of indices

`{x}^( - y) = \frac{1}{ {x}^(y) }`

So we have the final answer as

`\frac{1}{ {6}^(8) }`

Hope this helps you