Question

Hello can you please help me posted picture of question

Answer 1

Hey there :)


`\boxed { ((4)/(25))^ (1)/(2) }`

The power
`(1)/(2)` is on both 4 and 25

Note that a power of
`(1)/(2)` means √ ( square root )

Therefore:

`\boxed{ (4^ (1)/(2) )/(25^ (1)/(2) ) }`

`\boxed { ( √(4) )/( √(25) ) } = \boxed { (2)/(5) }`

Your answer will be
`\boxed{option \ C }`

Answer 2

The answer is C. 2/5
When we raise the quotient 4/25 to the power of 1/2, we raise both the numerator and the denominator to the power. Here, our numerator is 4, our denominator is 25. Therefore,
(4/25)^(1/2) = 4^(1/2)/25^(1/2).
This property of exponents is called the power of a quotient power, where the denominator is not equal to zero.

For the one-half power of a number, we can write it as the square root of the number:
(4/25)^(1/2) = sqrt(4) / sqrt(25) = 2/5
Therefore, (4/25)^(1/2) = 2/5