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

To solve the equation \( 27x^{3/4} - 1 = 26 \), we first isolate the term containing \( x \):

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

Next, we divide both sides by 27:

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

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

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

So the correct answer is:

1