Find n so that (4/5)³×(4/5)-6 = (4/5)²n-1
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Step-by-step explanation:
(4/5)³×(4/5)-6 = (4/5)²n-1
(4/5)⁴ -6 = (4/5)²n-1
(4/5)⁴ -6 / (4/5)² = n-1
(4/5)² - 6 = n-1
(4/5)²-6+1 = n
16/25 -5 = n
(16-125) /25 = n
Therefore n= -109 /25
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