simplify
3sqrt-1/8
To simplify the expression 3√(-1/8), we can follow these steps:
Step 1: Simplify the square root part of the expression.
- We can rewrite the expression using exponential notation as 3(-1/8)^(1/3).
- Now, we need to simplify the negative exponent.
Step 2: Simplify the negative exponent.
- A negative exponent indicates finding the reciprocal of the base raised to the positive exponent.
- So, -1/8^ (1/3) can be rewritten as 1 / (8^(1/3)).
- Here, 8^(1/3) represents the cube root of 8, which is 2 because 2 x 2 x 2 = 8.
Step 3: Evaluate the simplified expression.
- Simplifying 1 / 2, we get the final answer of 1/2.
Therefore, 3√(-1/8) simplifies to 1/2.