Write the following as a radical expression. 15^((5)/(6))

Understand as fraction: Understand the exponent as a fraction. The exponent 5/6 can be broken down into two parts: the numerator 5, which is the power, and the denominator 6, which is the root.Express as radical: Express the exponent as a radical. The expression 15^(5/6) can be written as the 6th root of 15 raised to the 5th power. In radical form, this is written as √[15^5] with a small 6 outside the radical to denote the 6th root.Simplify radical expression: Simplify the radical expression. Since 15 is not a perfect power of 6, we cannot simplify the radical further. Therefore, the expression remains as the 6th root of 15^5.

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Write the following as a radical expression.

15^((5)/(6))

Write the following as a radical expression. $\newline$ $15^{\frac{5}{6}}$

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Algebra 1

Evaluate integers raised to positive rational exponents

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Q. Write the following as a radical expression.

\newline

15^{\frac{5}{6}}

Understand as fraction: Understand the exponent as a fraction. The exponent $\frac{5}{6}$ can be broken down into two parts: the numerator $5$ , which is the power, and the denominator $6$ , which is the root.
Express as radical: Express the exponent as a radical. $\newline$ The expression $15^{\frac{5}{6}}$ can be written as the $6$ th root of $15$ raised to the $5$ th power. In radical form, this is written as $\sqrt[6]{15^5}$ with a small $6$ outside the radical to denote the $6$ th root.
Simplify radical expression: Simplify the radical expression. Since $15$ is not a perfect power of $6$ , we cannot simplify the radical further. Therefore, the expression remains as the $6$ th root of $15^5$ .