1/2* x^2/ root 2-x can be postive indiceis ?
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To simplify the expression, we need to multiply the fractions and simplify the resulting expression.
1/2 * x^(2/√(2-x))
To simplify this expression with fractional exponents, we can apply the rule of exponentiation:
a^(m/n) = (a^m)^(1/n)
Applying this rule to the expression, we have:
1/2 * (x^(2/√(2-x)))^(1/2)
Now, we can simplify the expression under the square root by raising it to the power of 2:
1/2 * (x^2/(2-x))^(1/2)
Since the exponent of 1/2 represents the square root, we can rewrite it as:
1/2 * √(x^2/(2-x))
So, the simplified expression is:
√(x^2/(2-x))/2
This expression has a positive index (1/2), as the exponent represents square root.