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

Sum

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

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

#### 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