The value of [(-5/6)^{-5}]³ is

Correct Answer is : (−56)−15(-5/6)^{-15}(−65)−15

Correct Answer is : (−56)−15(-5/6)^{-15}(−65)−15

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CTET Paper II (Mathematics and Science) 5 Jan 2022 Solved Paper

Question : 31 of 150

Marks: +1, -0

The value of

[(-\frac{5}{6})^{-5}]^{3}

Solution:

Concept:

Use the power rule of exponents:

(a^m)^n = a^{m \times n}

Explanation:

The expression is

\left[ \left(-\frac{5}{6}\right)^{-5} \right]^{3}

Multiply the exponents:

(-5) \times 3 = -15

Thus, the expression simplifies to

\left(-\frac{5}{6}\right)^{-15}

No further simplification is needed; the answer matches one of the given options.

Answer:

\left(-\frac{5}{6}\right)^{-15}

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