Select the correct answer to the following equation: 27x^3/4−1=26 .(1 point)

To solve the equation \( 27x^{3/4} - 1 = 26 \), we can start by isolating \( 27x^{3/4} \):

\[ 27x^{3/4} = 26 + 1 \]
\[ 27x^{3/4} = 27 \]

Next, we divide both sides by 27:

\[ x^{3/4} = 1 \]

Now, to solve for \( x \), we raise both sides to the power of \( \frac{4}{3} \):

\[ x = 1^{4/3} \]
\[ x = 1 \]

Therefore, the correct answer is \( \boxed{1} \).