Select the correct answer to the following equation: 27x3/^4−1=26.(1 point)

Responses

3
3
1
1
25/27
Start Fraction 25 over 27 End Fraction
0

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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

1. Add 1 to both sides:
\[
27x^{3/4} = 27
\]

2. Divide by 27:
\[
x^{3/4} = 1
\]

3. Raise both sides to the power of \(\frac{4}{3}\) to solve for \( x \):
\[
x = 1^{\frac{4}{3}} = 1
\]

Thus, the correct answer is \( 1 \).