(-2)⁷ (Simplify and give reasons)
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Answered by
18
-BONJOUR,
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(-2)×(-2)×(-2)×(-2)×(-2)×(-2)×(-2)
=-128
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(-2)×(-2)×(-2)×(-2)×(-2)×(-2)×(-2)
=-128
Answered by
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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