Solve for x 2x^-3=0

Problem

2*x(−3)=0

Solution

1. Rewrite the expression using the definition of negative exponents, where x(−n)=1/(xn)

2/(x3)=0

2. Analyze the fraction to determine if it can equal zero. A fraction a/b is equal to zero if and only if the numerator a is zero and the denominator b is non-zero.

2≠0

3. Identify the contradiction. Since the numerator is a constant 2 there is no value of x that can make the numerator zero. Additionally, x cannot be zero because division by zero is undefined.

2/(x3)≠0

4. Conclude that the equation has no solution.

Final Answer

2*x(−3)=0⇒No solution

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