Question

What is the correct simplification of 243^3/5
?(1 point)
Responses

27
27
9
9
3
3
81

Answer 1

To simplify \( \frac{243^3}{5} \), we can first calculate \( 243^3 \).

However, there's no need to actually compute the large number. Instead, we can analyze \( 243 \):

\[
243 = 3^5
\]

So, we can express \( 243^3 \) as:

\[
243^3 = (3^5)^3 = 3^{15}
\]

Now, we need to simplify \( \frac{3^{15}}{5} \). Since \( 3^{15} \) is a large number, we won't simplify it fully without calculating it but can say that the expression is \( \frac{3^{15}}{5} \).

None of the simplifications from above will fit neatly into the options provided (27, 9, 3, 81).

However, if you are looking to match the closest possible value of \( 243 \) by itself (without the divisor), recognize that \( 243 \) is \( 3^5 \), and if you divided that by \( 5 \), it would yield a value less than any of those possible choices.

Therefore, the simplest interpretation is:

The response regarding just simplifying \( 243 \) with \( 5 \) provides no rational number among the choices provided. Could there be additional information about those answers?

Please check or provide context or constraints for a precise resolution.