Question

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

Answer 1

Answer:

The answer is option C

Step-by-step 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