Math, asked by StarTbia, 1 year ago

(-2)⁷ (Simplify and give reasons)

Answers

Answered by Anonymous
18
-BONJOUR,
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(-2)×(-2)×(-2)×(-2)×(-2)×(-2)×(-2)
=-128
Answered by sk940178
11

Answer:

-128

Step-by-step explanation:

Here in this question, we have to simplify the expression (-2)⁷.

Now, (-2)⁷ can be written as (-1×2)⁷.

So, (-2)⁷ can be expressed as the following:

(-2)⁷ = (-1×2)⁷= (-1)⁷× (2)⁷

{Since, we know the formula of indices that, (xy)ⁿ = (xⁿ).(yⁿ)}

=(-1) × (2)⁷       {Since the value of (-1)ⁿ =1 When n is even integers and (-1)ⁿ =-1, when n is odd integers}

= -2⁷

= -128 {Since we know that, 2⁷ =2× 2× 2× 2× 2× 2× 2 =128}

(Answer)

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