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.
Select the correct answer to the following equation: x ^ 5/4 = 243
A no solution
B 3
C 27
D 81
3 answers
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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.
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.
1 answer