What is the simplified value of (81) power -1/4 ÷(81) power 1/4 ?
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81 -¼ ÷ 81 ¼
= 81 -¼ × (1/81)¼
= (1/81)¼ × (1/81)¼
(since, a-¹ = 1/a for a number a)
= [(1/81)¼]²
= (1/81)½
= [1/(9)²]½
= 1/9
Therefore, answer = 1/9
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