# Which of the following is not equal to [(5/6)^{1/5}]^{-1/6}

a. (5/6)^{1/5 - 1/6}

b. 1/ [(5/6)^{1/5}]^{1/6}

c. (6/5)^{1/30}

d. (5/6)^{-1/30}

**Solution:**

It is given that

\([(\frac{5}{6})^{1/5}]^{-1/6}\)

From the identity a^{m} × a^{n} = a^{m + n}

= \(\frac{1}{[(\frac{5}{6})^{1/5}]^{1/6}}\)

Taking __LCM__

= \(\frac{1}{(\frac{5}{6})^{1/30}}\)

= \(\frac{5}{6}^{-1/30}\)

= \((\frac{6}{5})^{1/30}\)

Therefore, \(\frac{5}{6}^{1/5 - 1/6}\) is not equal to \([(\frac{5}{6})^{1/5}]^{-1/6}\).

**✦ Try This: **Which of the following is not equal to \([(\frac{4}{5})^{1/5}]^{-1/6}\)

a. \(\frac{4}{5}^{1/5 - 1/6}\)

b. \(\frac{1}{[(\frac{4}{5})^{1/5}]^{1/6}}\)

c. \((\frac{5}{4})^{1/30}\)

d. \((\frac{4}{5})^{-1/30}\)

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.1 Sample Problem 1**

## Which of the following is not equal to [(5/6)^{1/5}]^{-1/6 }a. (5/6)^{1/5 - 1/6}, b. 1/ [(5/6)^{1/5}]^{1/6}, c. (6/5)^{1/30}, d. (5/6)^{-1/30}

**Summary:**

All rational numbers and all irrational numbers together make the collection of real numbers. [(5/6)^{1/5}]^{-1/6} is not equal to (5/6)^{1/5 - 1/6}

**☛ Related Questions:**

- Every rational number is a. a natural number, b. an integer, c. a real number, d. a whole number
- Between two rational numbers a. there is no rational number, b. there is exactly one rational number . . . .
- Decimal representation of a rational number cannot be a. terminating, b. non-terminating, c. non-ter . . . .

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