Question

if
${( \frac{ - 5}{7} })^{4} \times {( \frac{ - 5}{7} })^{12} = { (\frac{ - 5}{7} })^{3x} \times ({ \frac{ - 5}{7} })^{ - 1}$
find the value of x​

Answer 1

Step-by-step explanation:

(-5/7)⁴ × (-5/7)¹² = (-5/7)³* × (-5/7)-¹

(-5/7)⁴+¹² = (-5/7)³*-¹

(-5/7)¹6 = (-5/7)³* -¹

Now, taking only powers = 16 = 3x -1

=> 3x = 16 - 1

=> 3x = 15

=> X = 15/3

=> X = 5

The value of X is 5

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