Question

$(1331)^{-(2/3)}=$

• A. 1/11
• B. -1/121
• C. 1/121
• D. -1/11

Answer 1

Answer:

C. 1/121

• First, convert the negative exponent: $(1331)^{-(2/3)} = 1 / (1331)^{2/3}$.

• Next, apply the fractional exponent by taking the cube root first: $1 / (\sqrt[3]{1331})^2$.

• Substitute the value of the cube root: $1 / (11)^2$.

• Finally, calculate the square: $1 / (11 × 11) = 1 / 121$.