can you please change these to radical form without simplifying them?
625^(3/4)
4x^(-1/2)
32y^(-2/5)
x^(1/3) - y^(1/3)
a. fourth root of 625 cubed
b. 1/(2sqrtx)
c. 1/(2fifthrty^2)
d. 1/cbrtx - 1/cbrty
wait i don't think that's right
d is not right
cubrtx -cubrty
I thought there was a - sign in exponent.
4x^-1/2
= 4√x^-1
Or
4/√x Ans
Sure! To change these expressions to radical form without simplifying them, we can rewrite the fractional exponents as roots. Here's how you can do it:
1. 625^(3/4):
To express 625^(3/4) in radical form, we can rewrite the exponent 3/4 as a fourth root. The fourth root of a number can be written using the radical symbol (√), so 625^(3/4) can be written as (√625)^3.
2. 4x^(-1/2):
To write 4x^(-1/2) in radical form, we can rewrite the exponent -1/2 as a square root. The square root of x can be written as √x. Therefore, 4x^(-1/2) can be expressed as 4/√x.
3. 32y^(-2/5):
To express 32y^(-2/5) in radical form, we can rewrite the exponent -2/5 as a fifth root. The fifth root of y can be written as ∛y. Thus, 32y^(-2/5) can be written as 32/(∛y)^2.
4. x^(1/3) - y^(1/3):
To write x^(1/3) - y^(1/3) in radical form, we can rewrite the exponents 1/3 as cube roots. The cube root of x can be represented as ∛x, and the cube root of y can be represented as ∛y. Therefore, x^(1/3) - y^(1/3) can be expressed as ∛x - ∛y.
These are the equivalent expressions in radical form without simplifying them.