Question

find the value of x: (-2)power3 × (-2)power-6 = (-2)power2x-1​

Answer 1

Answer:

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Answer 2

$\huge\underline\bold\pink{Answer}$

${ (-2) }^{3} \times {( - 2)}^{ - 6} = {( - 2)}^{2x - 1} \\ {( - 2)}^{3 + ( - 6)} = {( - 2)}^{2x - 1} \\ {( - 2)}^{3 - 6} = {( - 2)}^{2x - 1} \\ {( - 2)}^{ - 3} = {( - 2)}^{2x - 1} \\ equating \: the \: powers \\ - 3 = 2x - 1 \\ - 3 + 1 = 2x \\ - 2 = 2x \\ x = \frac{ - 2}{2} \\ x = - 1$