Question

$( - 2) ^{3} \times ( - 2) ^{ - 6} = ( - 2) ^{2x - 1}$
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Answer 1

Answer:

-1

Step-by-step explanation:

( - 2 ) ^ 3 × ( - 2 ) ^ - 6 = ( - 2 ) ^ 2 x - 1

( a ) ^ m * ( a ) ^ n = ( a ) ^ ( m + n )

( - 2 ) ^ ( 3 + - 6 ) = ( - 2 ) ^ ( 2 x - 1 )

( - 2 ) ^ ( - 3 ) = ( - 2 ) ^ ( 2 x - 1 )

So, (- 2) and (- 2) will get subtracted.

- 3 = 2 x - 1

-3+1=2x

-2=2x

-1=x

Hence, the answer is - 1.

Hope you get this one done.

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