Express 16/81 and -16/81 as powers of a rational number.

Solution:

Given, the numbers are 16/81 and -16/81.

We have to express the given numbers as powers of a rational number.

We know, 16 = 4²

Similarly, 81 = 9²

So, 16/81 = 4²/9²

Now, -16/81 = -4²/9²

Using law of exponents,

a^m/b^m = (a/b)^m

4²/9² = (4/9)²

-4²/9² = (-4/9)²

Therefore, the required values are (4/9)² and (-4/9)².

✦ Try This: Express 64/1331 and -64/1331 as powers of a rational number.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

---

NCERT Exemplar Class 8 Maths Chapter 8 Problem 95

Express 16/81 and -16/81 as powers of a rational number.

Summary:

On expressing 16/81 and -16/81 as powers of a rational number, we get (4/9)² and (-4/9)².

---

☛ Related Questions:

• Express [(-3/2)⁻²]⁻³ as a power of a rational number with negative exponent
• Express [(-3/2)⁻²]⁻³ as a power of a rational number with negative exponent
• Find the product of the cube of (-2) and the square of (+4)