1 answer
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To solve the equation \( 27x^{3/4} - 1 = 26 \), we start by isolating \( 27x^{3/4} \):
\[
27x^{3/4} = 26 + 1
\]
\[
27x^{3/4} = 27
\]
Next, we can divide both sides by 27:
\[
x^{3/4} = 1
\]
Now, to eliminate the exponent \( \frac{3}{4} \), we raise both sides to the reciprocal power \( \frac{4}{3} \):
\[
x = 1^{\frac{4}{3}} = 1
\]
Thus, the solution for \( x \) is:
\[
x = 1
\]
Therefore, the correct answer is:
**1**