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Express as a power of a rational number with negative exponent. ((-32)-2)-3 - Mathematics

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Sum

Express as a power of a rational number with negative exponent.

`(((-3)/2)^-2)^-3`

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Solution

Using laws of exponents, `(a^m)n = (a)^(m xx n)` and `a^-m = 1/a^m`  .....[∵ A is non-zero integer]

∴ `(((-3)/2)^-2)^-3 = ((-3)/2)^(-2 xx (-3))`

= `((-3)/2)^6`

= `(2/3)^-6`

Concept: Negative Exponents and Laws of Exponents
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APPEARS IN

NCERT Mathematics Exemplar Class 8
Chapter 8 Exponents and Powers
Exercise | Q 96.(a) | Page 257

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