Answer:
c. 6
Step-by-step explanation:
For c, the first step is to solve the inside brackets:
[tex]8^{1/3} + 64^{1/3}[/tex]
Anything to the power 1/3 simply means we do the cube root of the number: 8 to the power 1/3 is 2 (because 2 × 2 × 2 = 8) and 64 to the power 1/3 is 4 (because 4 × 4 × 4 = 64). Now we can do 2 + 4 which is 6.
Next, we can write out what we have left to solve:
[tex][6(6)^{3}]^{1/4}[/tex]
Let's solve the square brackets now. Applying the rules of BIDMAS, we have to solve the indices before the multiplication. 6³ = 216 (6 × 6 × 6 = 216) and 216 × 6 is 1296.
Now we are left with [tex]1296^{1/4}[/tex] which basically means we have to find the 4th root of 1296. This gives us 6 (because 6 × 6 × 6 × 6 = 1296) and that is the answer.
Hope this helps!
