Question

To evaluate 1254/3 find
a.the square root of 4 times the cube root of 125.
b.125 to the power of 4 and then take the cube root.
c.the fourth root of 125 and then take the cube root.
d.the cube root of 125 and then take the fourth root.

Answer 1

To evaluate

$125^{\frac{4}{3}$

b. 125 to the power of 4 and then take the cube root.


_____
125^(4/3) = (125^1)×(125^(1/3)) = 125∛125
You can evaluate this more easily by multiplying 125 by its cube root.
   125×∛125 = 125×5 = 625

Answer 2

Answer:

$625$

Step-by-step explanation:

Given is a number 125 and we have to find out the value when the number is raised to power $\frac{4}{3}$

i.e. we have to find the value of $125^{\frac{4}{3} }$

This is equivalent to finding cube root of 125 and then raising answer to power 4.

because $125^{\frac{4}{3} }=(125^{\frac{1}{3} })^4$

Also since 125 is a perfect cube calculations would be easier

=$5^4 = 625$