simplify 7^1/2 / 7^1/4
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Answer:
Step-by-step explanation:
Given,
7^1/2 / 7^1/4
= 7^1/2 × ( 1/7^ 1/4 ) (∵ a / b = a × 1/b )
= 7^1/2 × 7^ -1/4 ( ∵ a / b = a × b power - 1 )
= Bases are equal then powers should be add.
= 7^1/2 + ( - 1/4)
= 7^ 1/2 - 1/4 (∵ + × - = - )
= 7^(2 × 1 - 1 × 1) / 4 (∵ LCM of 2 and 4 is 4)
= 7^(2 - 1 )/4
= 7^1/4 is the answer.
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