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प्रश्न
`[(3/7)^-3]^4` = ______
पर्याय
`(3/7)^-7`
`(3/7)^-10`
`(7/3)^12`
`(3/7)^20`
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उत्तर
`[(3/7)^-3]^4 = bbunderline((7/3)^12)`
Explanation:
`[(3/7)^-3]^4 = (3/7)^(-3(4))` ...[∵ (am)n = amn]
`= (3/7)^-12`
`= (7/3)^12` ....`[∵ (a)^-"n" = 1/"a"^"n"]`
संबंधित प्रश्न
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`( a + b )^(-1) . ( a^(-1) + b^(-1) )`
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`(32)^(-2/5) ÷ (125)^(-2/3)`
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If 2160 = 2a. 3b. 5c, find a, b and c. Hence calculate the value of 3a x 2-b x 5-c.
Show that :
`( a^m/a^-n)^( m - n ) xx (a^n/a^-l)^( n - l) xx (a^l/a^-m)^( l - m ) = 1`
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