Express 27/64 and -27/64 as powers of a rational number.

Solution:

Given, the numbers are 27/64 and -27/74.

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

We know, 27 = 3³

Similarly, 64 = 4³

So, 27/64 = 3³/4³

Now, -27/64 = -3³/4³

Using law of exponents,

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

3³/4³ = (3/4)³

-3³/4³ = (-3/4)³

Therefore, the required values are (3/4)³ and (-3/4)³.

✦ Try This: Express 16/25 and -16/25 as powers of a rational number.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 94

Express 27/64 and -27/64 as powers of a rational number.

Summary:

On expressing 27/64 and -27/64 as powers of a rational number, we get (3/4)³ and (-3/4)³.

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☛ Related Questions:

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