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# Value of ∜(81)^{-2} is

a. 1/9

b. 1/3

c. 9

d. 1/81

**Solution:**

Given

∜(81)^{-2}

It can be written as

= 81^{-2 × 1/4}

= 81^{-1/2}

By further calculation

= (√81)^{-1}

= 9^{-1}

= 1/9

Therefore, the value is 1/9.

**✦ Try This: **Value of ∜(16)^{-2} is

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

**NCERT Exemplar Class 9 Maths Exercise 1.1 Problem 19**

## Value of ∜(81)^{-2} is a. 1/9, b. 1/3, c. 9, d. 1/81

**Summary**:

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. Value of ∜(81)^{-2} is 1/9

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