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

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प्रश्न

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

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

योग

उत्तर

Using laws of exponents, (am)n = (a)m × 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`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Exponents and Powers - Exercise [पृष्ठ २५७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 8 Exponents and Powers
Exercise | Q 96. (a) | पृष्ठ २५७

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