Select the correct answer to the following equation: x ^ 5/4 = 243

To find the correct answer, we need to solve for x in the equation x^(5/4) = 243.

First, we can rewrite 243 as 3^5 since 3^5 = 243.

Now the equation becomes x^(5/4) = 3^5.

To solve for x, we need to isolate it. Taking the 4th root on both sides of the equation will allow us to eliminate the exponent 5/4:

(x^(5/4))^(4/5) = (3^5)^(4/5).

This simplifies to x = 3^(5 * 4/5) = 3^4 = 81.

So, the correct answer is D) 81.

Are you sure

Apologies for the mistake in my previous response. Let's correct it.

To find the correct answer, we need to solve for x in the equation x^(5/4) = 243.

To get rid of the exponent 5/4, we can raise both sides of the equation to the power of 4/5:

(x^(5/4))^(4/5) = 243^(4/5).

This simplifies to x = 243^(4/5).

To find 243^(4/5), we can rewrite 243 as 3^5 since 3^5 = 243.

Therefore, x = (3^5)^(4/5) = 3^(5 * 4/5) = 3^(20/5) = 3^4 = 81.

So the correct answer is D) 81.