Evaluate. (3^((1)/(5)))/(root(5)(-96))=

Understand the expression: Understand the expression. We have the expression (3^(1/5))/(root(5)(-96)), which involves a fifth root of 3 in the numerator and a fifth root of -96 in the denominator. Evaluate fifth roots: Evaluate the fifth root of 3. The fifth root of 3 is the number that, when raised to the power of 5, gives 3. This is written as 3^(1/5).Simplify the expression: Evaluate the fifth root of -96. The fifth root of -96 is the number that, when raised to the power of 5, gives -96. However, since we are dealing with real numbers, the fifth root of a negative number is also a negative number. This is written as (-96)^(1/5).Recognize the error: Simplify the expression. Now we divide the fifth root of 3 by the fifth root of -96. This can be written as (3^(1/5))/((-96)^(1/5)).Recognize the error in taking the fifth root of a negative number. Upon reviewing the previous steps, we realize that the fifth root of a negative number is not defined in the real number system. Therefore, the expression (3^(1/5))/(root(5)(-96)) is not defined for real numbers.

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Evaluate.

(3^((1)/(5)))/(root(5)(-96))=

Evaluate. $\newline$ $\frac{3^{\frac{1}{5}}}{\sqrt[5]{-96}}=$

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Math Problems

Grade 6

Multiply using the distributive property

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Q. Evaluate.

\newline

\frac{3^{\frac{1}{5}}}{\sqrt[5]{-96}}=

Understand the expression: Understand the expression. $\newline$ We have the expression $\frac{3^{\frac{1}{5}}}{\sqrt[5]{-96}}$ , which involves a fifth root of $3$ in the numerator and a fifth root of $-96$ in the denominator.
Evaluate fifth roots: Evaluate the fifth root of $3$ . The fifth root of $3$ is the number that, when raised to the power of $5$ , gives $3$ . This is written as $3^{(1/5)}$ .
Simplify the expression: Evaluate the fifth root of $-96$ . $\newline$ The fifth root of $-96$ is the number that, when raised to the power of $5$ , gives $-96$ . However, since we are dealing with real numbers, the fifth root of a negative number is also a negative number. This is written as $(-96)^{1/5}$ .
Recognize the error: Simplify the expression. $\newline$ Now we divide the fifth root of $3$ by the fifth root of $-96$ . This can be written as $(3^{1/5})/((-96)^{1/5})$ .
Recognize the error: Simplify the expression. $\newline$ Now we divide the fifth root of $3$ by the fifth root of $-96$ . This can be written as $\left(3^{1/5}\right)/\left((-96)^{1/5}\right)$ .Recognize the error in taking the fifth root of a negative number. $\newline$ Upon reviewing the previous steps, we realize that the fifth root of a negative number is not defined in the real number system. Therefore, the expression $\left(3^{1/5}\right)/\left(\sqrt[5]{-96}\right)$ is not defined for real numbers.