Express [(-3/2)⁻²]⁻³ as a power of a rational number with negative exponent.

Solution:

Given, the expression is [(-3/2)⁻²]⁻³.

We have to express the given term as a power of a rational number with a negative exponent.

Using law of exponents,

(a^m)ⁿ = a^mn

So, [(-3/2)⁻²]⁻³ = (-3/2)⁻²×⁻³

= (-3/2)⁶

Using law of exponents,

a⁻ⁿ = 1/aⁿ

Now, (-3/2)⁶ = 1/(-3/2)⁶

= (-2/3)⁻⁶

Therefore, [(-3/2)⁻²]⁻³ = (-2/3)⁻⁶

✦ Try This: Express [(-4/7)⁻²]⁻³ as a power of a rational number with negative exponent.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 96(a)

Express [(-3/2)⁻²]⁻³ as a power of a rational number with negative exponent.

Summary:

On expressing [(-3/2)⁻²]⁻³ as a power of a rational number with negative exponent, we get (-2/3)⁻⁶.

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☛ Related Questions:

• Express (2⁵ ÷ 2⁸) × 2⁻⁷ as a power of a rational number with negative exponent
• Find the product of the cube of (-2) and the square of (+4)
• Simplify: (1/4)⁻² + (1/2)⁻² + (1/3)⁻²