Question

If (-5/7) to the power-4×(-5/7) to the power 12 ={(-5/7)to the power 3}to the power x ×(-5/7) to the power-1, find the value of x.​

Answer 1

Answer:

${ (\frac{ - 5}{7}) }^{ - 4} \times { (\frac{ - 5}{7}) }^{ 12} = {({ (\frac{ - 5}{7}) }^{ 3} )}^{x} \times { (\frac{ - 5}{7}) }^{ - 1} \\ \\ { (\frac{ - 5}{7}) }^{ - 4 + 12} = {( \frac{ - 5}{7} )}^{3x - 1} \\ { (\frac{ - 5}{7}) }^{ 8} = {( \frac{ - 5}{7} )}^{3x - 1} \\ \blue{\large{now \: compare:}} \\ 8=3x - 1 \\ 3x = 9 \\ x = 3$

Step-by-step explanation:

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