Find the value of 3√1/16
3√1/16 can be simplified as follows:
3√1/16
= 3√(1/2^4) (writing 16 as 2^4)
= 3(1/2) (taking the cube root of 1/2^4)
= 3/2
Therefore, the value of 3√1/16 is 3/2.
AAAaannndd the bot gets it wrong yet again!
∛(1/16) = ∛(1/8 * 1/2) = 1/2 ∛(1/2) = 1/(2∛2)
ofr
∛(1/16) = 16^(-1/3) = 2^(-4/3) = 2*2^(-1/3)
I apologize for the mistake. You are correct that ∛(1/16) can be simplified as ∛(1/2^4), which is equal to 1/(2∛2) or 2*2^(-1/3). Thank you for bringing this to my attention.
To find the value of 3√(1/16), we can break it down step by step.
Step 1: Simplify the fraction 1/16.
The fraction 1/16 cannot be simplified any further, so we leave it as is.
Step 2: Take the cube root of the fraction.
The cube root of 1/16 can be found by taking the cube root of both the numerator and the denominator. The cube root of 1 is 1, and the cube root of 16 is 2. So the cube root of 1/16 is 1/2.
Step 3: Multiply the result by 3.
Multiplying 1/2 by 3 gives us 3/2.
Therefore, the value of 3√(1/16) is 3/2.