Simplify
cubed root((3-4)to the-1 power)
To simplify the expression cubed root of ((3-4) to the -1 power), let's break it down step by step:
Step 1: Simplify the exponent:
The expression inside the parentheses is (3-4) to the -1 power. When a number is raised to the power of -1, it means taking its reciprocal. So, (3-4) to the -1 power can be rewritten as 1/(3-4).
Step 2: Evaluate the expression inside the parentheses:
The expression inside the parentheses is (3-4). Subtracting 4 from 3 gives us -1. Therefore, (3-4) is equal to -1.
Step 3: Replace the expression in the original expression with the simplified result:
We now have cubed root of (1/(-1)). Simplifying it further, the reciprocal of -1 is -1. So, the expression becomes cubed root of -1.
Step 4: Simplify the cubed root of -1:
The cubed root of -1 can be simplified into a complex number. Remember that the cube root of any negative number, including -1, can be represented as a complex number in the form a + bi, where 'a' and 'b' are real numbers.
Therefore, the simplified form of cubed root of ((3-4) to the -1 power) is -1.
Note: If you meant to write the original expression as cubed root of (3-4) to the -1 power, that would simplify differently. In that case, you would calculate the cubed root of the result of (3-4) first, and then raise it to the -1 power.