The value of -2-5 is a-32 b-1-32 c32 d1-32

( 2)^ 5=1/( 2)^5=1/ 32= 1/32 [ ∵ (x)^ m=1/x^m ] ...

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Standard VIII

Mathematics

Powers with Negative Exponents

The value of ...

Question

The value of $(- 2)^{- 5}$ is

(a)-32

$(b) \frac{- 1}{32}$

(c)32

$(d) \frac{1}{32}$

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Solution

$(- 2)^{- 5} = \frac{1}{(- 2)^{5}} = \frac{1}{- 32} = \frac{- 1}{32}$

$[∵ (x)^{- m} = \frac{1}{x^{m}}]$

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The value of (−2)−5 is (a)-32 (b)−132 (c)32 (d)132

(−2)−5=1(−2)5=1−32=−132 [∵(x)−m=1xm]

The value of $(- 2)^{- 5}$ is

(a)-32

$(b) \frac{- 1}{32}$

(c)32

$(d) \frac{1}{32}$

$(- 2)^{- 5} = \frac{1}{(- 2)^{5}} = \frac{1}{- 32} = \frac{- 1}{32}$

$[∵ (x)^{- m} = \frac{1}{x^{m}}]$