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Chapter 0: Problem 91

Convert the expressions to radical form. $$ -\frac{3}{2} x^{-1 / 4} $$

Short Answer

Expert verified
The expression \(-\frac{3}{2} x^{-1/4}\) can be converted to radical form as follows: \(-\frac{3}{2\sqrt[4]{x}}\).

Step by step solution

01

Recognize the expression

The given expression is: $$ -\frac{3}{2} x^{-1 / 4} $$ We need to convert it into radical form.
02

Rewrite negative exponent as a positive exponent

To rewrite a negative exponent as a positive exponent, move the entire term from numerator to the denominator or vice versa. So, $$ -\frac{3}{2} x^{-1 / 4} = -\frac{3}{2x^{1 / 4}} $$
03

Convert the positive exponent to a radical

Now, we need to convert the expression with positive exponent to a radical form. The exponent 1/4 can be written as the fourth root: $$ -\frac{3}{2x^{1 / 4}} = -\frac{3}{2\sqrt[4]{x}} $$
04

Write the final expression in radical form

We have now converted the given expression into a radical form. The final expression is: $$ -\frac{3}{2\sqrt[4]{x}} $$

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Most popular questions from this chapter

\(x^{4}-5 x^{2}+4\)

Find all possible real solutions of each equation \(x^{3}+4 x^{2}+4 x+3=0\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{e^{2 x}+e^{-2 x}}{e^{2 x}-e^{-2 x}}\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(3 x^{2}-1=0\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(2^{2 x^{2}-x+1}\)
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