Question

Need help with 21. and 23. pls

Answer 1

21:
`(√[3]{5})^4 = 5^(4/3)`

22:
`(√[4]{5})^3 = 5^(3/4)`

23:
`1/√[4]{5} = 5^(-1/4)`

24:
`-√[4]{5} = -5^(1/4)`

21:

`(√[3]{5})^4 = 5^(4/3)`

This is because
`(√[3]{5})^4` is the same as
`5^(4/3)`. To see this, we can think of (√[3]{5})^4 as the fourth root of 5 raised to the fourth power. This is the same as taking the fourth root of 5 four times, which is equal to
`5^(4/3)`.

22:

`(√[4]{5})^3 = 5^(3/4)`

This is because
`(√[4]{5})^3` is the same as
`5^(3/4)`. To see this, we can think of
`(√[4]{5})^3` as the third root of 5 raised to the third power. This is the same as taking the third root of 5 three times, which is equal to
`5^(3/4)`.

23:

`1/√[4]{5} = 5^(-1/4)`

This is because
`1/√[4]{5}` is the reciprocal of
`√[4]{5}`. To see this, we can multiply the numerator and denominator of
`1/√[4]{5}` by
`√[4]{5}` to get:

`1/√[4]{5} * √[4]{5} / √[4]{5} = 1 / 5`

Therefore,
`1/√[4]{5}` is the same as 5^(-1/4).

24:

`-√[4]{5} = -5^(1/4)`

This is because
`-√[4]{5}` is the negative of
`√[4]{5}`. To see this, we can multiply
`-√[4]{5}` by -1 to get:

`-√[4]{5} * -1 = 1 * √[4]{5} = √[4]{5}`

Therefore,
`-√[4]{5}` is the same as
`-5^(1/4)`.