Question

find the value of x for which {(-2/7)^2}^x * (-7/2)^-1 = -8/343

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

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Here is your answer.

$(( - \frac{2}{7} ) {}^{2} ) {}^{x} \times ( - \frac{7}{2} ) {}^{ - 1} = - \frac{8}{343} \\ \\ ( - \frac{2}{7} ) {}^{2x} \times ( - \frac{2}{7} ) {}^{1} = ( - \frac{2}{7} ) {}^{3} \\ \\ ( - \frac{2}{7} ) {}^{2x + 1} = ( - \frac{2}{7} ) {}^{3} \\ \\ as \: same \: base \: so \: power \: is \: also \: same \\ \\ 2x + 1 = 3 \\ \\ 2x = 3 - 1 \\ \\ 2x = 2 \\ \\ x = \frac{2}{2} \\ \\ x = 1$
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