Question

value of [((256)^-1/2)^0]^1000 is
a) 1
b) 0
c) undefined
d) 16000​​

Answer 1

Step-by-step explanation:

={[1/√256]^0}^1000

=[(1/16)^0]^1000

=(1)^1000

=1

Answer 2

Hello Buddy,

Thanks For Asking the Question :)

Your Answer is Below

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Question :-

$\mathrm{Value\:Of\: [\ ((256)^{-\frac{1}{2}})^{0}\ ]^{1000}\: is }$

Answer :-

( a ) 1

Step-By-Step Explanation

⇒ $[\ ( 16^{2} )^{\frac{-1}{2} })^{0}\ ]^{1000}$

⇒ $[\ (16^{2\times\frac{-1}{2} })^{0}\ ]^{1000}$                                             ∵ $(a^{m} )^{n}= a^{m\times n}$

⇒ $[\ (16^{-1} )^{0}\ ]^{1000}$

⇒ $[\ (\frac{1}{16} )^{0}\ ]^{1000}$                                                     ∵ $a^{-m} = \frac{1}{a^{m}}$

⇒ $(1)^{1000}$                                                             ∵ $a^{0} = 1$

⇒ 1

                              $\large{\boxed{\boxed{\boxed{\mathrm{\therefore\: Answer\: is\: Option\ ( a )\ 1}}}}}$

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Hope It Helps You Dear ! :D     ^_^

By Abhiram5566

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