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Please help! Identify which of the following is not equivalent to a1/4

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Please help! Identify which of the following is not equivalent to a1/4 Answers (images-example-1
Please help! Identify which of the following is not equivalent to a1/4 Answers (images-example-1
Please help! Identify which of the following is not equivalent to a1/4 Answers (images-example-2
Please help! Identify which of the following is not equivalent to a1/4 Answers (images-example-3
Please help! Identify which of the following is not equivalent to a1/4 Answers (images-example-4
User Sulabh
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1 Answer

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Answer: B

Explanation:

A)
a^(3)/(4)÷
a^(1)/(2) cannot be the answer. When a to the power of x is divided by a to the power of y it is a to the power of x-y. Ex:
a^x÷
a^y=a^x^-^y

So 3/4-1/2 is 1/4 giving us
a^{(1)/(4) }

B is the answer because taking the square root of a is the same as
a^(1)/(2) which isn't the same as
a^(1)/(4)

C is not the answer because when a to the power of x is multiplied by a to the power of y it is a to the power of x+y. Ex:
a^x·
a^y=
a^(x+y)

1/8+1/8=1/4 so it is
a^(1)/(4)

D can't be the answer.
a^(1)/(8) squared is the same as
a^(1)/(8)·
a^(1)/(8) so the same explanation of c applies to d

User Lost Robot
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